Pre-Algebra Examples

Solve Using the Square Root Property 2x^2+10x+8=10
Step 1
Subtract from both sides of the equation.
Step 2
Subtract from .
Step 3
Factor out of .
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Step 3.1
Factor out of .
Step 3.2
Factor out of .
Step 3.3
Factor out of .
Step 3.4
Factor out of .
Step 3.5
Factor out of .
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
Use the quadratic formula to find the solutions.
Step 6
Substitute the values , , and into the quadratic formula and solve for .
Step 7
Simplify.
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Step 7.1
Simplify the numerator.
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Step 7.1.1
Raise to the power of .
Step 7.1.2
Multiply .
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Step 7.1.2.1
Multiply by .
Step 7.1.2.2
Multiply by .
Step 7.1.3
Add and .
Step 7.2
Multiply by .
Step 8
Simplify the expression to solve for the portion of the .
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Step 8.1
Simplify the numerator.
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Step 8.1.1
Raise to the power of .
Step 8.1.2
Multiply .
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Step 8.1.2.1
Multiply by .
Step 8.1.2.2
Multiply by .
Step 8.1.3
Add and .
Step 8.2
Multiply by .
Step 8.3
Change the to .
Step 8.4
Rewrite as .
Step 8.5
Factor out of .
Step 8.6
Factor out of .
Step 8.7
Move the negative in front of the fraction.
Step 9
Simplify the expression to solve for the portion of the .
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Step 9.1
Simplify the numerator.
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Step 9.1.1
Raise to the power of .
Step 9.1.2
Multiply .
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Step 9.1.2.1
Multiply by .
Step 9.1.2.2
Multiply by .
Step 9.1.3
Add and .
Step 9.2
Multiply by .
Step 9.3
Change the to .
Step 9.4
Rewrite as .
Step 9.5
Factor out of .
Step 9.6
Factor out of .
Step 9.7
Move the negative in front of the fraction.
Step 10
The final answer is the combination of both solutions.
Step 11
The result can be shown in multiple forms.
Exact Form:
Decimal Form: