Finite Math Examples

Solve for x (x-1)(x+7)=20
Step 1
Simplify .
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Step 1.1
Expand using the FOIL Method.
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Step 1.1.1
Apply the distributive property.
Step 1.1.2
Apply the distributive property.
Step 1.1.3
Apply the distributive property.
Step 1.2
Simplify and combine like terms.
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Step 1.2.1
Simplify each term.
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Step 1.2.1.1
Multiply by .
Step 1.2.1.2
Move to the left of .
Step 1.2.1.3
Rewrite as .
Step 1.2.1.4
Multiply by .
Step 1.2.2
Subtract from .
Step 2
Subtract from both sides of the equation.
Step 3
Subtract from .
Step 4
Factor using the AC method.
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Step 4.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 4.2
Write the factored form using these integers.
Step 5
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 6
Set equal to and solve for .
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Step 6.1
Set equal to .
Step 6.2
Add to both sides of the equation.
Step 7
Set equal to and solve for .
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Step 7.1
Set equal to .
Step 7.2
Subtract from both sides of the equation.
Step 8
The final solution is all the values that make true.