Algebra Examples

Factor 8-8x=(3x+1)(x-1)
Step 1
Subtract from both sides of the equation.
Step 2
Simplify .
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Step 2.1
Simplify each term.
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Step 2.1.1
Apply the distributive property.
Step 2.1.2
Multiply by .
Step 2.1.3
Multiply by .
Step 2.1.4
Expand using the FOIL Method.
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Step 2.1.4.1
Apply the distributive property.
Step 2.1.4.2
Apply the distributive property.
Step 2.1.4.3
Apply the distributive property.
Step 2.1.5
Simplify and combine like terms.
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Step 2.1.5.1
Simplify each term.
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Step 2.1.5.1.1
Multiply by by adding the exponents.
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Step 2.1.5.1.1.1
Move .
Step 2.1.5.1.1.2
Multiply by .
Step 2.1.5.1.2
Multiply by .
Step 2.1.5.1.3
Rewrite as .
Step 2.1.5.1.4
Multiply by .
Step 2.1.5.2
Subtract from .
Step 2.2
Add and .
Step 2.3
Add and .
Step 3
Factor the left side.
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Step 3.1
Factor out of .
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Step 3.1.1
Factor out of .
Step 3.1.2
Factor out of .
Step 3.1.3
Factor out of .
Step 3.1.4
Factor out of .
Step 3.1.5
Factor out of .
Step 3.2
Factor.
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Step 3.2.1
Factor by grouping.
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Step 3.2.1.1
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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Step 3.2.1.1.1
Factor out of .
Step 3.2.1.1.2
Rewrite as plus
Step 3.2.1.1.3
Apply the distributive property.
Step 3.2.1.1.4
Multiply by .
Step 3.2.1.2
Factor out the greatest common factor from each group.
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Step 3.2.1.2.1
Group the first two terms and the last two terms.
Step 3.2.1.2.2
Factor out the greatest common factor (GCF) from each group.
Step 3.2.1.3
Factor the polynomial by factoring out the greatest common factor, .
Step 3.2.2
Remove unnecessary parentheses.