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Pre-Algebra Examples
Step 1
Multiply by .
Step 2
Step 2.1
Add to both sides of the equation.
Step 2.2
Combine the opposite terms in .
Step 2.2.1
Add and .
Step 2.2.2
Add and .
Step 3
Step 3.1
Add to both sides of the equation.
Step 3.2
Add and .
Step 4
Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
Step 4.2.1
Cancel the common factor of .
Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
Step 4.3.1
Move the negative in front of the fraction.
Step 5
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 6
Step 6.1
Rewrite as .
Step 6.2
Pull terms out from under the radical.
Step 6.3
Rewrite as .
Step 6.4
Multiply by .
Step 6.5
Combine and simplify the denominator.
Step 6.5.1
Multiply by .
Step 6.5.2
Raise to the power of .
Step 6.5.3
Raise to the power of .
Step 6.5.4
Use the power rule to combine exponents.
Step 6.5.5
Add and .
Step 6.5.6
Rewrite as .
Step 6.5.6.1
Use to rewrite as .
Step 6.5.6.2
Apply the power rule and multiply exponents, .
Step 6.5.6.3
Combine and .
Step 6.5.6.4
Cancel the common factor of .
Step 6.5.6.4.1
Cancel the common factor.
Step 6.5.6.4.2
Rewrite the expression.
Step 6.5.6.5
Evaluate the exponent.
Step 6.6
Simplify the numerator.
Step 6.6.1
Combine using the product rule for radicals.
Step 6.6.2
Multiply by .
Step 6.7
Combine and .
Step 7
Step 7.1
First, use the positive value of the to find the first solution.
Step 7.2
Next, use the negative value of the to find the second solution.
Step 7.3
The complete solution is the result of both the positive and negative portions of the solution.