Enter a problem...
Finite Math Examples
,
Step 1
Step 1.1
Subtract from both sides of the equation.
Step 1.2
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 1.3
Simplify .
Step 1.3.1
Write the expression using exponents.
Step 1.3.1.1
Rewrite as .
Step 1.3.1.2
Rewrite as .
Step 1.3.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 1.3.3
Multiply by .
Step 1.4
The complete solution is the result of both the positive and negative portions of the solution.
Step 1.4.1
First, use the positive value of the to find the first solution.
Step 1.4.2
Next, use the negative value of the to find the second solution.
Step 1.4.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 2
Step 2.1
Replace all occurrences of with in each equation.
Step 2.1.1
Replace all occurrences of in with .
Step 2.1.2
Simplify the left side.
Step 2.1.2.1
Simplify .
Step 2.1.2.1.1
Simplify each term.
Step 2.1.2.1.1.1
Rewrite as .
Step 2.1.2.1.1.1.1
Use to rewrite as .
Step 2.1.2.1.1.1.2
Apply the power rule and multiply exponents, .
Step 2.1.2.1.1.1.3
Combine and .
Step 2.1.2.1.1.1.4
Cancel the common factor of .
Step 2.1.2.1.1.1.4.1
Cancel the common factor.
Step 2.1.2.1.1.1.4.2
Rewrite the expression.
Step 2.1.2.1.1.1.5
Simplify.
Step 2.1.2.1.1.2
Expand using the FOIL Method.
Step 2.1.2.1.1.2.1
Apply the distributive property.
Step 2.1.2.1.1.2.2
Apply the distributive property.
Step 2.1.2.1.1.2.3
Apply the distributive property.
Step 2.1.2.1.1.3
Combine the opposite terms in .
Step 2.1.2.1.1.3.1
Reorder the factors in the terms and .
Step 2.1.2.1.1.3.2
Add and .
Step 2.1.2.1.1.3.3
Add and .
Step 2.1.2.1.1.4
Simplify each term.
Step 2.1.2.1.1.4.1
Multiply by .
Step 2.1.2.1.1.4.2
Rewrite using the commutative property of multiplication.
Step 2.1.2.1.1.4.3
Multiply by by adding the exponents.
Step 2.1.2.1.1.4.3.1
Move .
Step 2.1.2.1.1.4.3.2
Multiply by .
Step 2.1.2.1.1.4.4
Multiply by .
Step 2.1.2.1.1.5
Apply the distributive property.
Step 2.1.2.1.1.6
Multiply by .
Step 2.1.2.1.1.7
Multiply by .
Step 2.1.2.1.2
Add and .
Step 2.2
Solve for in .
Step 2.2.1
Move all terms not containing to the right side of the equation.
Step 2.2.1.1
Add to both sides of the equation.
Step 2.2.1.2
Add and .
Step 2.2.2
Divide each term in by and simplify.
Step 2.2.2.1
Divide each term in by .
Step 2.2.2.2
Simplify the left side.
Step 2.2.2.2.1
Cancel the common factor of .
Step 2.2.2.2.1.1
Cancel the common factor.
Step 2.2.2.2.1.2
Divide by .
Step 2.2.3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2.2.4
Simplify .
Step 2.2.4.1
Rewrite as .
Step 2.2.4.2
Simplify the numerator.
Step 2.2.4.2.1
Rewrite as .
Step 2.2.4.2.2
Pull terms out from under the radical, assuming positive real numbers.
Step 2.2.4.3
Multiply by .
Step 2.2.4.4
Combine and simplify the denominator.
Step 2.2.4.4.1
Multiply by .
Step 2.2.4.4.2
Raise to the power of .
Step 2.2.4.4.3
Raise to the power of .
Step 2.2.4.4.4
Use the power rule to combine exponents.
Step 2.2.4.4.5
Add and .
Step 2.2.4.4.6
Rewrite as .
Step 2.2.4.4.6.1
Use to rewrite as .
Step 2.2.4.4.6.2
Apply the power rule and multiply exponents, .
Step 2.2.4.4.6.3
Combine and .
Step 2.2.4.4.6.4
Cancel the common factor of .
Step 2.2.4.4.6.4.1
Cancel the common factor.
Step 2.2.4.4.6.4.2
Rewrite the expression.
Step 2.2.4.4.6.5
Evaluate the exponent.
Step 2.2.5
The complete solution is the result of both the positive and negative portions of the solution.
Step 2.2.5.1
First, use the positive value of the to find the first solution.
Step 2.2.5.2
Next, use the negative value of the to find the second solution.
Step 2.2.5.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 2.3
Replace all occurrences of with in each equation.
Step 2.3.1
Replace all occurrences of in with .
Step 2.3.2
Simplify the right side.
Step 2.3.2.1
Simplify .
Step 2.3.2.1.1
Cancel the common factor of .
Step 2.3.2.1.1.1
Factor out of .
Step 2.3.2.1.1.2
Cancel the common factor.
Step 2.3.2.1.1.3
Rewrite the expression.
Step 2.3.2.1.2
Cancel the common factor of .
Step 2.3.2.1.2.1
Factor out of .
Step 2.3.2.1.2.2
Factor out of .
Step 2.3.2.1.2.3
Cancel the common factor.
Step 2.3.2.1.2.4
Rewrite the expression.
Step 2.3.2.1.3
Rewrite as .
Step 2.3.2.1.4
To write as a fraction with a common denominator, multiply by .
Step 2.3.2.1.5
Combine and .
Step 2.3.2.1.6
Simplify the expression.
Step 2.3.2.1.6.1
Combine the numerators over the common denominator.
Step 2.3.2.1.6.2
Multiply by .
Step 2.3.2.1.7
To write as a fraction with a common denominator, multiply by .
Step 2.3.2.1.8
Combine fractions.
Step 2.3.2.1.8.1
Combine and .
Step 2.3.2.1.8.2
Simplify the expression.
Step 2.3.2.1.8.2.1
Combine the numerators over the common denominator.
Step 2.3.2.1.8.2.2
Multiply by .
Step 2.3.2.1.8.3
Multiply by .
Step 2.3.2.1.9
Simplify the numerator.
Step 2.3.2.1.9.1
Expand using the FOIL Method.
Step 2.3.2.1.9.1.1
Apply the distributive property.
Step 2.3.2.1.9.1.2
Apply the distributive property.
Step 2.3.2.1.9.1.3
Apply the distributive property.
Step 2.3.2.1.9.2
Simplify and combine like terms.
Step 2.3.2.1.9.2.1
Simplify each term.
Step 2.3.2.1.9.2.1.1
Multiply by .
Step 2.3.2.1.9.2.1.2
Multiply by .
Step 2.3.2.1.9.2.1.3
Multiply by .
Step 2.3.2.1.9.2.1.4
Multiply .
Step 2.3.2.1.9.2.1.4.1
Multiply by .
Step 2.3.2.1.9.2.1.4.2
Raise to the power of .
Step 2.3.2.1.9.2.1.4.3
Raise to the power of .
Step 2.3.2.1.9.2.1.4.4
Use the power rule to combine exponents.
Step 2.3.2.1.9.2.1.4.5
Add and .
Step 2.3.2.1.9.2.1.5
Rewrite as .
Step 2.3.2.1.9.2.1.5.1
Use to rewrite as .
Step 2.3.2.1.9.2.1.5.2
Apply the power rule and multiply exponents, .
Step 2.3.2.1.9.2.1.5.3
Combine and .
Step 2.3.2.1.9.2.1.5.4
Cancel the common factor of .
Step 2.3.2.1.9.2.1.5.4.1
Cancel the common factor.
Step 2.3.2.1.9.2.1.5.4.2
Rewrite the expression.
Step 2.3.2.1.9.2.1.5.5
Evaluate the exponent.
Step 2.3.2.1.9.2.1.6
Multiply by .
Step 2.3.2.1.9.2.2
Subtract from .
Step 2.3.2.1.9.2.3
Add and .
Step 2.3.2.1.9.2.4
Add and .
Step 2.3.2.1.10
Simplify terms.
Step 2.3.2.1.10.1
Multiply by .
Step 2.3.2.1.10.2
Cancel the common factor of and .
Step 2.3.2.1.10.2.1
Factor out of .
Step 2.3.2.1.10.2.2
Cancel the common factors.
Step 2.3.2.1.10.2.2.1
Factor out of .
Step 2.3.2.1.10.2.2.2
Cancel the common factor.
Step 2.3.2.1.10.2.2.3
Rewrite the expression.
Step 2.3.2.1.10.3
Simplify the expression.
Step 2.3.2.1.10.3.1
Move the negative in front of the fraction.
Step 2.3.2.1.10.3.2
Rewrite as .
Step 2.3.2.1.10.4
Pull terms out from under the radical.
Step 2.3.2.1.11
Rewrite as .
Step 2.3.2.1.12
Multiply by .
Step 2.3.2.1.13
Combine and simplify the denominator.
Step 2.3.2.1.13.1
Multiply by .
Step 2.3.2.1.13.2
Raise to the power of .
Step 2.3.2.1.13.3
Raise to the power of .
Step 2.3.2.1.13.4
Use the power rule to combine exponents.
Step 2.3.2.1.13.5
Add and .
Step 2.3.2.1.13.6
Rewrite as .
Step 2.3.2.1.13.6.1
Use to rewrite as .
Step 2.3.2.1.13.6.2
Apply the power rule and multiply exponents, .
Step 2.3.2.1.13.6.3
Combine and .
Step 2.3.2.1.13.6.4
Cancel the common factor of .
Step 2.3.2.1.13.6.4.1
Cancel the common factor.
Step 2.3.2.1.13.6.4.2
Rewrite the expression.
Step 2.3.2.1.13.6.5
Evaluate the exponent.
Step 2.3.2.1.14
Simplify the numerator.
Step 2.3.2.1.14.1
Combine using the product rule for radicals.
Step 2.3.2.1.14.2
Multiply by .
Step 2.3.2.1.15
Combine and .
Step 2.4
Replace all occurrences of with in each equation.
Step 2.4.1
Replace all occurrences of in with .
Step 2.4.2
Simplify the right side.
Step 2.4.2.1
Simplify .
Step 2.4.2.1.1
Cancel the common factor of .
Step 2.4.2.1.1.1
Move the leading negative in into the numerator.
Step 2.4.2.1.1.2
Factor out of .
Step 2.4.2.1.1.3
Cancel the common factor.
Step 2.4.2.1.1.4
Rewrite the expression.
Step 2.4.2.1.2
Move the negative in front of the fraction.
Step 2.4.2.1.3
Cancel the common factor of .
Step 2.4.2.1.3.1
Move the leading negative in into the numerator.
Step 2.4.2.1.3.2
Factor out of .
Step 2.4.2.1.3.3
Factor out of .
Step 2.4.2.1.3.4
Cancel the common factor.
Step 2.4.2.1.3.5
Rewrite the expression.
Step 2.4.2.1.4
Move the negative in front of the fraction.
Step 2.4.2.1.5
Multiply .
Step 2.4.2.1.5.1
Multiply by .
Step 2.4.2.1.5.2
Multiply by .
Step 2.4.2.1.6
To write as a fraction with a common denominator, multiply by .
Step 2.4.2.1.7
Combine and .
Step 2.4.2.1.8
Simplify the expression.
Step 2.4.2.1.8.1
Combine the numerators over the common denominator.
Step 2.4.2.1.8.2
Multiply by .
Step 2.4.2.1.9
To write as a fraction with a common denominator, multiply by .
Step 2.4.2.1.10
Combine fractions.
Step 2.4.2.1.10.1
Combine and .
Step 2.4.2.1.10.2
Simplify the expression.
Step 2.4.2.1.10.2.1
Combine the numerators over the common denominator.
Step 2.4.2.1.10.2.2
Multiply by .
Step 2.4.2.1.10.3
Multiply by .
Step 2.4.2.1.11
Simplify the numerator.
Step 2.4.2.1.11.1
Expand using the FOIL Method.
Step 2.4.2.1.11.1.1
Apply the distributive property.
Step 2.4.2.1.11.1.2
Apply the distributive property.
Step 2.4.2.1.11.1.3
Apply the distributive property.
Step 2.4.2.1.11.2
Simplify and combine like terms.
Step 2.4.2.1.11.2.1
Simplify each term.
Step 2.4.2.1.11.2.1.1
Multiply by .
Step 2.4.2.1.11.2.1.2
Multiply by .
Step 2.4.2.1.11.2.1.3
Multiply by .
Step 2.4.2.1.11.2.1.4
Multiply .
Step 2.4.2.1.11.2.1.4.1
Multiply by .
Step 2.4.2.1.11.2.1.4.2
Raise to the power of .
Step 2.4.2.1.11.2.1.4.3
Raise to the power of .
Step 2.4.2.1.11.2.1.4.4
Use the power rule to combine exponents.
Step 2.4.2.1.11.2.1.4.5
Add and .
Step 2.4.2.1.11.2.1.5
Rewrite as .
Step 2.4.2.1.11.2.1.5.1
Use to rewrite as .
Step 2.4.2.1.11.2.1.5.2
Apply the power rule and multiply exponents, .
Step 2.4.2.1.11.2.1.5.3
Combine and .
Step 2.4.2.1.11.2.1.5.4
Cancel the common factor of .
Step 2.4.2.1.11.2.1.5.4.1
Cancel the common factor.
Step 2.4.2.1.11.2.1.5.4.2
Rewrite the expression.
Step 2.4.2.1.11.2.1.5.5
Evaluate the exponent.
Step 2.4.2.1.11.2.1.6
Multiply by .
Step 2.4.2.1.11.2.2
Subtract from .
Step 2.4.2.1.11.2.3
Subtract from .
Step 2.4.2.1.11.2.4
Add and .
Step 2.4.2.1.12
Simplify terms.
Step 2.4.2.1.12.1
Multiply by .
Step 2.4.2.1.12.2
Cancel the common factor of and .
Step 2.4.2.1.12.2.1
Factor out of .
Step 2.4.2.1.12.2.2
Cancel the common factors.
Step 2.4.2.1.12.2.2.1
Factor out of .
Step 2.4.2.1.12.2.2.2
Cancel the common factor.
Step 2.4.2.1.12.2.2.3
Rewrite the expression.
Step 2.4.2.1.12.3
Simplify the expression.
Step 2.4.2.1.12.3.1
Move the negative in front of the fraction.
Step 2.4.2.1.12.3.2
Rewrite as .
Step 2.4.2.1.12.4
Pull terms out from under the radical.
Step 2.4.2.1.13
Rewrite as .
Step 2.4.2.1.14
Multiply by .
Step 2.4.2.1.15
Combine and simplify the denominator.
Step 2.4.2.1.15.1
Multiply by .
Step 2.4.2.1.15.2
Raise to the power of .
Step 2.4.2.1.15.3
Raise to the power of .
Step 2.4.2.1.15.4
Use the power rule to combine exponents.
Step 2.4.2.1.15.5
Add and .
Step 2.4.2.1.15.6
Rewrite as .
Step 2.4.2.1.15.6.1
Use to rewrite as .
Step 2.4.2.1.15.6.2
Apply the power rule and multiply exponents, .
Step 2.4.2.1.15.6.3
Combine and .
Step 2.4.2.1.15.6.4
Cancel the common factor of .
Step 2.4.2.1.15.6.4.1
Cancel the common factor.
Step 2.4.2.1.15.6.4.2
Rewrite the expression.
Step 2.4.2.1.15.6.5
Evaluate the exponent.
Step 2.4.2.1.16
Simplify the numerator.
Step 2.4.2.1.16.1
Combine using the product rule for radicals.
Step 2.4.2.1.16.2
Multiply by .
Step 2.4.2.1.17
Combine and .
Step 3
Step 3.1
Replace all occurrences of with in each equation.
Step 3.1.1
Replace all occurrences of in with .
Step 3.1.2
Simplify the left side.
Step 3.1.2.1
Simplify .
Step 3.1.2.1.1
Simplify each term.
Step 3.1.2.1.1.1
Apply the product rule to .
Step 3.1.2.1.1.2
Multiply by by adding the exponents.
Step 3.1.2.1.1.2.1
Move .
Step 3.1.2.1.1.2.2
Multiply by .
Step 3.1.2.1.1.2.2.1
Raise to the power of .
Step 3.1.2.1.1.2.2.2
Use the power rule to combine exponents.
Step 3.1.2.1.1.2.3
Add and .
Step 3.1.2.1.1.3
Raise to the power of .
Step 3.1.2.1.1.4
Rewrite as .
Step 3.1.2.1.1.4.1
Use to rewrite as .
Step 3.1.2.1.1.4.2
Apply the power rule and multiply exponents, .
Step 3.1.2.1.1.4.3
Combine and .
Step 3.1.2.1.1.4.4
Cancel the common factor of .
Step 3.1.2.1.1.4.4.1
Cancel the common factor.
Step 3.1.2.1.1.4.4.2
Rewrite the expression.
Step 3.1.2.1.1.4.5
Simplify.
Step 3.1.2.1.1.5
Expand using the FOIL Method.
Step 3.1.2.1.1.5.1
Apply the distributive property.
Step 3.1.2.1.1.5.2
Apply the distributive property.
Step 3.1.2.1.1.5.3
Apply the distributive property.
Step 3.1.2.1.1.6
Combine the opposite terms in .
Step 3.1.2.1.1.6.1
Reorder the factors in the terms and .
Step 3.1.2.1.1.6.2
Add and .
Step 3.1.2.1.1.6.3
Add and .
Step 3.1.2.1.1.7
Simplify each term.
Step 3.1.2.1.1.7.1
Multiply by .
Step 3.1.2.1.1.7.2
Rewrite using the commutative property of multiplication.
Step 3.1.2.1.1.7.3
Multiply by by adding the exponents.
Step 3.1.2.1.1.7.3.1
Move .
Step 3.1.2.1.1.7.3.2
Multiply by .
Step 3.1.2.1.1.7.4
Multiply by .
Step 3.1.2.1.1.8
Apply the distributive property.
Step 3.1.2.1.1.9
Multiply by .
Step 3.1.2.1.1.10
Multiply by .
Step 3.1.2.1.2
Add and .
Step 3.2
Solve for in .
Step 3.2.1
Move all terms not containing to the right side of the equation.
Step 3.2.1.1
Add to both sides of the equation.
Step 3.2.1.2
Add and .
Step 3.2.2
Divide each term in by and simplify.
Step 3.2.2.1
Divide each term in by .
Step 3.2.2.2
Simplify the left side.
Step 3.2.2.2.1
Cancel the common factor of .
Step 3.2.2.2.1.1
Cancel the common factor.
Step 3.2.2.2.1.2
Divide by .
Step 3.2.3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 3.2.4
Simplify .
Step 3.2.4.1
Rewrite as .
Step 3.2.4.2
Simplify the numerator.
Step 3.2.4.2.1
Rewrite as .
Step 3.2.4.2.2
Pull terms out from under the radical, assuming positive real numbers.
Step 3.2.4.3
Multiply by .
Step 3.2.4.4
Combine and simplify the denominator.
Step 3.2.4.4.1
Multiply by .
Step 3.2.4.4.2
Raise to the power of .
Step 3.2.4.4.3
Raise to the power of .
Step 3.2.4.4.4
Use the power rule to combine exponents.
Step 3.2.4.4.5
Add and .
Step 3.2.4.4.6
Rewrite as .
Step 3.2.4.4.6.1
Use to rewrite as .
Step 3.2.4.4.6.2
Apply the power rule and multiply exponents, .
Step 3.2.4.4.6.3
Combine and .
Step 3.2.4.4.6.4
Cancel the common factor of .
Step 3.2.4.4.6.4.1
Cancel the common factor.
Step 3.2.4.4.6.4.2
Rewrite the expression.
Step 3.2.4.4.6.5
Evaluate the exponent.
Step 3.2.5
The complete solution is the result of both the positive and negative portions of the solution.
Step 3.2.5.1
First, use the positive value of the to find the first solution.
Step 3.2.5.2
Next, use the negative value of the to find the second solution.
Step 3.2.5.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 3.3
Replace all occurrences of with in each equation.
Step 3.3.1
Replace all occurrences of in with .
Step 3.3.2
Simplify the right side.
Step 3.3.2.1
Simplify .
Step 3.3.2.1.1
Cancel the common factor of .
Step 3.3.2.1.1.1
Factor out of .
Step 3.3.2.1.1.2
Cancel the common factor.
Step 3.3.2.1.1.3
Rewrite the expression.
Step 3.3.2.1.2
Cancel the common factor of .
Step 3.3.2.1.2.1
Factor out of .
Step 3.3.2.1.2.2
Factor out of .
Step 3.3.2.1.2.3
Cancel the common factor.
Step 3.3.2.1.2.4
Rewrite the expression.
Step 3.3.2.1.3
Rewrite as .
Step 3.3.2.1.4
To write as a fraction with a common denominator, multiply by .
Step 3.3.2.1.5
Combine and .
Step 3.3.2.1.6
Simplify the expression.
Step 3.3.2.1.6.1
Combine the numerators over the common denominator.
Step 3.3.2.1.6.2
Multiply by .
Step 3.3.2.1.7
To write as a fraction with a common denominator, multiply by .
Step 3.3.2.1.8
Combine fractions.
Step 3.3.2.1.8.1
Combine and .
Step 3.3.2.1.8.2
Simplify the expression.
Step 3.3.2.1.8.2.1
Combine the numerators over the common denominator.
Step 3.3.2.1.8.2.2
Multiply by .
Step 3.3.2.1.8.3
Multiply by .
Step 3.3.2.1.9
Simplify the numerator.
Step 3.3.2.1.9.1
Expand using the FOIL Method.
Step 3.3.2.1.9.1.1
Apply the distributive property.
Step 3.3.2.1.9.1.2
Apply the distributive property.
Step 3.3.2.1.9.1.3
Apply the distributive property.
Step 3.3.2.1.9.2
Simplify and combine like terms.
Step 3.3.2.1.9.2.1
Simplify each term.
Step 3.3.2.1.9.2.1.1
Multiply by .
Step 3.3.2.1.9.2.1.2
Multiply by .
Step 3.3.2.1.9.2.1.3
Multiply by .
Step 3.3.2.1.9.2.1.4
Multiply .
Step 3.3.2.1.9.2.1.4.1
Multiply by .
Step 3.3.2.1.9.2.1.4.2
Raise to the power of .
Step 3.3.2.1.9.2.1.4.3
Raise to the power of .
Step 3.3.2.1.9.2.1.4.4
Use the power rule to combine exponents.
Step 3.3.2.1.9.2.1.4.5
Add and .
Step 3.3.2.1.9.2.1.5
Rewrite as .
Step 3.3.2.1.9.2.1.5.1
Use to rewrite as .
Step 3.3.2.1.9.2.1.5.2
Apply the power rule and multiply exponents, .
Step 3.3.2.1.9.2.1.5.3
Combine and .
Step 3.3.2.1.9.2.1.5.4
Cancel the common factor of .
Step 3.3.2.1.9.2.1.5.4.1
Cancel the common factor.
Step 3.3.2.1.9.2.1.5.4.2
Rewrite the expression.
Step 3.3.2.1.9.2.1.5.5
Evaluate the exponent.
Step 3.3.2.1.9.2.1.6
Multiply by .
Step 3.3.2.1.9.2.2
Subtract from .
Step 3.3.2.1.9.2.3
Add and .
Step 3.3.2.1.9.2.4
Add and .
Step 3.3.2.1.10
Simplify terms.
Step 3.3.2.1.10.1
Multiply by .
Step 3.3.2.1.10.2
Cancel the common factor of and .
Step 3.3.2.1.10.2.1
Factor out of .
Step 3.3.2.1.10.2.2
Cancel the common factors.
Step 3.3.2.1.10.2.2.1
Factor out of .
Step 3.3.2.1.10.2.2.2
Cancel the common factor.
Step 3.3.2.1.10.2.2.3
Rewrite the expression.
Step 3.3.2.1.10.3
Simplify the expression.
Step 3.3.2.1.10.3.1
Move the negative in front of the fraction.
Step 3.3.2.1.10.3.2
Rewrite as .
Step 3.3.2.1.10.4
Pull terms out from under the radical.
Step 3.3.2.1.11
Rewrite as .
Step 3.3.2.1.12
Multiply by .
Step 3.3.2.1.13
Combine and simplify the denominator.
Step 3.3.2.1.13.1
Multiply by .
Step 3.3.2.1.13.2
Raise to the power of .
Step 3.3.2.1.13.3
Raise to the power of .
Step 3.3.2.1.13.4
Use the power rule to combine exponents.
Step 3.3.2.1.13.5
Add and .
Step 3.3.2.1.13.6
Rewrite as .
Step 3.3.2.1.13.6.1
Use to rewrite as .
Step 3.3.2.1.13.6.2
Apply the power rule and multiply exponents, .
Step 3.3.2.1.13.6.3
Combine and .
Step 3.3.2.1.13.6.4
Cancel the common factor of .
Step 3.3.2.1.13.6.4.1
Cancel the common factor.
Step 3.3.2.1.13.6.4.2
Rewrite the expression.
Step 3.3.2.1.13.6.5
Evaluate the exponent.
Step 3.3.2.1.14
Simplify the numerator.
Step 3.3.2.1.14.1
Combine using the product rule for radicals.
Step 3.3.2.1.14.2
Multiply by .
Step 3.3.2.1.15
Combine and .
Step 3.4
Replace all occurrences of with in each equation.
Step 3.4.1
Replace all occurrences of in with .
Step 3.4.2
Simplify the right side.
Step 3.4.2.1
Simplify .
Step 3.4.2.1.1
Cancel the common factor of .
Step 3.4.2.1.1.1
Move the leading negative in into the numerator.
Step 3.4.2.1.1.2
Factor out of .
Step 3.4.2.1.1.3
Cancel the common factor.
Step 3.4.2.1.1.4
Rewrite the expression.
Step 3.4.2.1.2
Move the negative in front of the fraction.
Step 3.4.2.1.3
Cancel the common factor of .
Step 3.4.2.1.3.1
Move the leading negative in into the numerator.
Step 3.4.2.1.3.2
Factor out of .
Step 3.4.2.1.3.3
Factor out of .
Step 3.4.2.1.3.4
Cancel the common factor.
Step 3.4.2.1.3.5
Rewrite the expression.
Step 3.4.2.1.4
Move the negative in front of the fraction.
Step 3.4.2.1.5
Multiply .
Step 3.4.2.1.5.1
Multiply by .
Step 3.4.2.1.5.2
Multiply by .
Step 3.4.2.1.6
To write as a fraction with a common denominator, multiply by .
Step 3.4.2.1.7
Combine and .
Step 3.4.2.1.8
Simplify the expression.
Step 3.4.2.1.8.1
Combine the numerators over the common denominator.
Step 3.4.2.1.8.2
Multiply by .
Step 3.4.2.1.9
To write as a fraction with a common denominator, multiply by .
Step 3.4.2.1.10
Combine fractions.
Step 3.4.2.1.10.1
Combine and .
Step 3.4.2.1.10.2
Simplify the expression.
Step 3.4.2.1.10.2.1
Combine the numerators over the common denominator.
Step 3.4.2.1.10.2.2
Multiply by .
Step 3.4.2.1.10.3
Multiply by .
Step 3.4.2.1.11
Simplify the numerator.
Step 3.4.2.1.11.1
Expand using the FOIL Method.
Step 3.4.2.1.11.1.1
Apply the distributive property.
Step 3.4.2.1.11.1.2
Apply the distributive property.
Step 3.4.2.1.11.1.3
Apply the distributive property.
Step 3.4.2.1.11.2
Simplify and combine like terms.
Step 3.4.2.1.11.2.1
Simplify each term.
Step 3.4.2.1.11.2.1.1
Multiply by .
Step 3.4.2.1.11.2.1.2
Multiply by .
Step 3.4.2.1.11.2.1.3
Multiply by .
Step 3.4.2.1.11.2.1.4
Multiply .
Step 3.4.2.1.11.2.1.4.1
Multiply by .
Step 3.4.2.1.11.2.1.4.2
Raise to the power of .
Step 3.4.2.1.11.2.1.4.3
Raise to the power of .
Step 3.4.2.1.11.2.1.4.4
Use the power rule to combine exponents.
Step 3.4.2.1.11.2.1.4.5
Add and .
Step 3.4.2.1.11.2.1.5
Rewrite as .
Step 3.4.2.1.11.2.1.5.1
Use to rewrite as .
Step 3.4.2.1.11.2.1.5.2
Apply the power rule and multiply exponents, .
Step 3.4.2.1.11.2.1.5.3
Combine and .
Step 3.4.2.1.11.2.1.5.4
Cancel the common factor of .
Step 3.4.2.1.11.2.1.5.4.1
Cancel the common factor.
Step 3.4.2.1.11.2.1.5.4.2
Rewrite the expression.
Step 3.4.2.1.11.2.1.5.5
Evaluate the exponent.
Step 3.4.2.1.11.2.1.6
Multiply by .
Step 3.4.2.1.11.2.2
Subtract from .
Step 3.4.2.1.11.2.3
Subtract from .
Step 3.4.2.1.11.2.4
Add and .
Step 3.4.2.1.12
Simplify terms.
Step 3.4.2.1.12.1
Multiply by .
Step 3.4.2.1.12.2
Cancel the common factor of and .
Step 3.4.2.1.12.2.1
Factor out of .
Step 3.4.2.1.12.2.2
Cancel the common factors.
Step 3.4.2.1.12.2.2.1
Factor out of .
Step 3.4.2.1.12.2.2.2
Cancel the common factor.
Step 3.4.2.1.12.2.2.3
Rewrite the expression.
Step 3.4.2.1.12.3
Simplify the expression.
Step 3.4.2.1.12.3.1
Move the negative in front of the fraction.
Step 3.4.2.1.12.3.2
Rewrite as .
Step 3.4.2.1.12.4
Pull terms out from under the radical.
Step 3.4.2.1.13
Rewrite as .
Step 3.4.2.1.14
Multiply by .
Step 3.4.2.1.15
Combine and simplify the denominator.
Step 3.4.2.1.15.1
Multiply by .
Step 3.4.2.1.15.2
Raise to the power of .
Step 3.4.2.1.15.3
Raise to the power of .
Step 3.4.2.1.15.4
Use the power rule to combine exponents.
Step 3.4.2.1.15.5
Add and .
Step 3.4.2.1.15.6
Rewrite as .
Step 3.4.2.1.15.6.1
Use to rewrite as .
Step 3.4.2.1.15.6.2
Apply the power rule and multiply exponents, .
Step 3.4.2.1.15.6.3
Combine and .
Step 3.4.2.1.15.6.4
Cancel the common factor of .
Step 3.4.2.1.15.6.4.1
Cancel the common factor.
Step 3.4.2.1.15.6.4.2
Rewrite the expression.
Step 3.4.2.1.15.6.5
Evaluate the exponent.
Step 3.4.2.1.16
Simplify the numerator.
Step 3.4.2.1.16.1
Combine using the product rule for radicals.
Step 3.4.2.1.16.2
Multiply by .
Step 3.4.2.1.17
Combine and .
Step 4
List all of the solutions.
Step 5