Pre-Algebra Examples

Solve Using the Square Root Property 9x^2-36x=-40
Step 1
Add to both sides of the equation.
Step 2
Use the quadratic formula to find the solutions.
Step 3
Substitute the values , , and into the quadratic formula and solve for .
Step 4
Simplify.
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Step 4.1
Simplify the numerator.
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Step 4.1.1
Raise to the power of .
Step 4.1.2
Multiply .
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Step 4.1.2.1
Multiply by .
Step 4.1.2.2
Multiply by .
Step 4.1.3
Subtract from .
Step 4.1.4
Rewrite as .
Step 4.1.5
Rewrite as .
Step 4.1.6
Rewrite as .
Step 4.1.7
Rewrite as .
Step 4.1.8
Pull terms out from under the radical, assuming positive real numbers.
Step 4.1.9
Move to the left of .
Step 4.2
Multiply by .
Step 4.3
Simplify .
Step 5
Simplify the expression to solve for the portion of the .
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Step 5.1
Simplify the numerator.
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Step 5.1.1
Raise to the power of .
Step 5.1.2
Multiply .
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Step 5.1.2.1
Multiply by .
Step 5.1.2.2
Multiply by .
Step 5.1.3
Subtract from .
Step 5.1.4
Rewrite as .
Step 5.1.5
Rewrite as .
Step 5.1.6
Rewrite as .
Step 5.1.7
Rewrite as .
Step 5.1.8
Pull terms out from under the radical, assuming positive real numbers.
Step 5.1.9
Move to the left of .
Step 5.2
Multiply by .
Step 5.3
Simplify .
Step 5.4
Change the to .
Step 5.5
Split the fraction into two fractions.
Step 5.6
Divide by .
Step 6
Simplify the expression to solve for the portion of the .
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Step 6.1
Simplify the numerator.
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Step 6.1.1
Raise to the power of .
Step 6.1.2
Multiply .
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Step 6.1.2.1
Multiply by .
Step 6.1.2.2
Multiply by .
Step 6.1.3
Subtract from .
Step 6.1.4
Rewrite as .
Step 6.1.5
Rewrite as .
Step 6.1.6
Rewrite as .
Step 6.1.7
Rewrite as .
Step 6.1.8
Pull terms out from under the radical, assuming positive real numbers.
Step 6.1.9
Move to the left of .
Step 6.2
Multiply by .
Step 6.3
Simplify .
Step 6.4
Change the to .
Step 6.5
Split the fraction into two fractions.
Step 6.6
Simplify each term.
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Step 6.6.1
Divide by .
Step 6.6.2
Move the negative in front of the fraction.
Step 7
The final answer is the combination of both solutions.