Algebra Examples

Solve for s A=6(s+2)^2
Step 1
Rewrite the equation as .
Step 2
Divide each term in by and simplify.
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Step 2.1
Divide each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Divide by .
Step 3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 4
Simplify .
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Step 4.1
Rewrite as .
Step 4.2
Multiply by .
Step 4.3
Combine and simplify the denominator.
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Step 4.3.1
Multiply by .
Step 4.3.2
Raise to the power of .
Step 4.3.3
Raise to the power of .
Step 4.3.4
Use the power rule to combine exponents.
Step 4.3.5
Add and .
Step 4.3.6
Rewrite as .
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Step 4.3.6.1
Use to rewrite as .
Step 4.3.6.2
Apply the power rule and multiply exponents, .
Step 4.3.6.3
Combine and .
Step 4.3.6.4
Cancel the common factor of .
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Step 4.3.6.4.1
Cancel the common factor.
Step 4.3.6.4.2
Rewrite the expression.
Step 4.3.6.5
Evaluate the exponent.
Step 4.4
Combine using the product rule for radicals.
Step 4.5
Reorder factors in .
Step 5
The complete solution is the result of both the positive and negative portions of the solution.
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Step 5.1
First, use the positive value of the to find the first solution.
Step 5.2
Subtract from both sides of the equation.
Step 5.3
Next, use the negative value of the to find the second solution.
Step 5.4
Subtract from both sides of the equation.
Step 5.5
The complete solution is the result of both the positive and negative portions of the solution.