Pre-Algebra Examples

Solve Using the Square Root Property (x+3)(x-3)-40=0
Step 1
Simplify .
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Step 1.1
Simplify each term.
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Step 1.1.1
Expand using the FOIL Method.
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Step 1.1.1.1
Apply the distributive property.
Step 1.1.1.2
Apply the distributive property.
Step 1.1.1.3
Apply the distributive property.
Step 1.1.2
Combine the opposite terms in .
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Step 1.1.2.1
Reorder the factors in the terms and .
Step 1.1.2.2
Add and .
Step 1.1.2.3
Add and .
Step 1.1.3
Simplify each term.
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Step 1.1.3.1
Multiply by .
Step 1.1.3.2
Multiply by .
Step 1.2
Subtract from .
Step 2
Add to both sides of the equation.
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
Pull terms out from under the radical, assuming positive real numbers.
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
Next, use the negative value of the to find the second solution.
Step 5.3
The complete solution is the result of both the positive and negative portions of the solution.