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Finite Math Examples
Step 1
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
Step 2
Step 2.1
Simplify .
Step 2.1.1
Rewrite.
Step 2.1.2
Simplify by adding zeros.
Step 2.1.3
Expand using the FOIL Method.
Step 2.1.3.1
Apply the distributive property.
Step 2.1.3.2
Apply the distributive property.
Step 2.1.3.3
Apply the distributive property.
Step 2.1.4
Simplify and combine like terms.
Step 2.1.4.1
Simplify each term.
Step 2.1.4.1.1
Multiply by by adding the exponents.
Step 2.1.4.1.1.1
Move .
Step 2.1.4.1.1.2
Multiply by .
Step 2.1.4.1.2
Multiply by .
Step 2.1.4.1.3
Multiply by .
Step 2.1.4.2
Subtract from .
Step 2.2
Simplify .
Step 2.2.1
Expand using the FOIL Method.
Step 2.2.1.1
Apply the distributive property.
Step 2.2.1.2
Apply the distributive property.
Step 2.2.1.3
Apply the distributive property.
Step 2.2.2
Simplify and combine like terms.
Step 2.2.2.1
Simplify each term.
Step 2.2.2.1.1
Multiply by .
Step 2.2.2.1.2
Multiply by .
Step 2.2.2.1.3
Multiply by by adding the exponents.
Step 2.2.2.1.3.1
Move .
Step 2.2.2.1.3.2
Multiply by .
Step 2.2.2.1.4
Multiply by .
Step 2.2.2.2
Add and .
Step 2.3
Move all terms containing to the left side of the equation.
Step 2.3.1
Subtract from both sides of the equation.
Step 2.3.2
Add to both sides of the equation.
Step 2.3.3
Combine the opposite terms in .
Step 2.3.3.1
Subtract from .
Step 2.3.3.2
Add and .
Step 2.3.4
Add and .
Step 2.4
Move all terms not containing to the right side of the equation.
Step 2.4.1
Add to both sides of the equation.
Step 2.4.2
Add and .
Step 2.5
Divide each term in by and simplify.
Step 2.5.1
Divide each term in by .
Step 2.5.2
Simplify the left side.
Step 2.5.2.1
Cancel the common factor of .
Step 2.5.2.1.1
Cancel the common factor.
Step 2.5.2.1.2
Divide by .
Step 2.5.3
Simplify the right side.
Step 2.5.3.1
Divide by .
Step 2.6
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2.7
Simplify .
Step 2.7.1
Rewrite as .
Step 2.7.2
Pull terms out from under the radical, assuming positive real numbers.
Step 2.8
The complete solution is the result of both the positive and negative portions of the solution.
Step 2.8.1
First, use the positive value of the to find the first solution.
Step 2.8.2
Next, use the negative value of the to find the second solution.
Step 2.8.3
The complete solution is the result of both the positive and negative portions of the solution.