Finite Math Examples

Solve by Factoring 7x^2-2x-8=0
Step 1
Use the quadratic formula to find the solutions.
Step 2
Substitute the values , , and into the quadratic formula and solve for .
Step 3
Simplify.
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Step 3.1
Simplify the numerator.
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Step 3.1.1
Raise to the power of .
Step 3.1.2
Multiply .
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Step 3.1.2.1
Multiply by .
Step 3.1.2.2
Multiply by .
Step 3.1.3
Add and .
Step 3.1.4
Rewrite as .
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Step 3.1.4.1
Factor out of .
Step 3.1.4.2
Rewrite as .
Step 3.1.5
Pull terms out from under the radical.
Step 3.2
Multiply by .
Step 3.3
Simplify .
Step 4
Simplify the expression to solve for the portion of the .
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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
Add and .
Step 4.1.4
Rewrite as .
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Step 4.1.4.1
Factor out of .
Step 4.1.4.2
Rewrite as .
Step 4.1.5
Pull terms out from under the radical.
Step 4.2
Multiply by .
Step 4.3
Simplify .
Step 4.4
Change the to .
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
Add and .
Step 5.1.4
Rewrite as .
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Step 5.1.4.1
Factor out of .
Step 5.1.4.2
Rewrite as .
Step 5.1.5
Pull terms out from under the radical.
Step 5.2
Multiply by .
Step 5.3
Simplify .
Step 5.4
Change the to .
Step 6
The final answer is the combination of both solutions.
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form: