Pre-Algebra Examples

Solve Using the Square Root Property (7x-2)^2-3=-2
Step 1
Add to both sides of the equation.
Step 2
Add and .
Step 3
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 4
Any root of is .
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
Move all terms not containing to the right side of the equation.
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Step 5.2.1
Add to both sides of the equation.
Step 5.2.2
Add and .
Step 5.3
Divide each term in by and simplify.
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Step 5.3.1
Divide each term in by .
Step 5.3.2
Simplify the left side.
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Step 5.3.2.1
Cancel the common factor of .
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Step 5.3.2.1.1
Cancel the common factor.
Step 5.3.2.1.2
Divide by .
Step 5.4
Next, use the negative value of the to find the second solution.
Step 5.5
Move all terms not containing to the right side of the equation.
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Step 5.5.1
Add to both sides of the equation.
Step 5.5.2
Add and .
Step 5.6
Divide each term in by and simplify.
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Step 5.6.1
Divide each term in by .
Step 5.6.2
Simplify the left side.
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Step 5.6.2.1
Cancel the common factor of .
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Step 5.6.2.1.1
Cancel the common factor.
Step 5.6.2.1.2
Divide by .
Step 5.7
The complete solution is the result of both the positive and negative portions of the solution.