Pre-Algebra Examples

Solve Using the Square Root Property 9x^2+3=4(3x^2-6)
Step 1
Simplify .
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Step 1.1
Rewrite.
Step 1.2
Simplify by adding zeros.
Step 1.3
Apply the distributive property.
Step 1.4
Multiply.
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Step 1.4.1
Multiply by .
Step 1.4.2
Multiply by .
Step 2
Move all terms containing to the left side of the equation.
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Step 2.1
Subtract from both sides of the equation.
Step 2.2
Subtract from .
Step 3
Move all terms not containing to the right side of the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
Subtract from .
Step 4
Divide each term in by and simplify.
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Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
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Step 4.3.1
Divide by .
Step 5
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 6
Simplify .
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Step 6.1
Rewrite as .
Step 6.2
Pull terms out from under the radical, assuming positive real numbers.
Step 7
The complete solution is the result of both the positive and negative portions of the solution.
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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.