Finite Math Examples

Solve for p (x^5-3x^3+px^3+q)/(x^2+x-2)=2
Step 1
Multiply both sides by .
Step 2
Simplify.
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Step 2.1
Simplify the left side.
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Step 2.1.1
Simplify .
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Step 2.1.1.1
Cancel the common factor of .
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Step 2.1.1.1.1
Cancel the common factor.
Step 2.1.1.1.2
Rewrite the expression.
Step 2.1.1.2
Move .
Step 2.2
Simplify the right side.
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Step 2.2.1
Simplify .
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Step 2.2.1.1
Apply the distributive property.
Step 2.2.1.2
Multiply by .
Step 3
Solve for .
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Step 3.1
Move all terms not containing to the right side of the equation.
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Step 3.1.1
Subtract from both sides of the equation.
Step 3.1.2
Add to both sides of the equation.
Step 3.1.3
Subtract from both sides of the equation.
Step 3.2
Divide each term in by and simplify.
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Step 3.2.1
Divide each term in by .
Step 3.2.2
Simplify the left side.
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Step 3.2.2.1
Cancel the common factor of .
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Step 3.2.2.1.1
Cancel the common factor.
Step 3.2.2.1.2
Divide by .
Step 3.2.3
Simplify the right side.
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Step 3.2.3.1
Simplify each term.
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Step 3.2.3.1.1
Cancel the common factor of and .
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Step 3.2.3.1.1.1
Factor out of .
Step 3.2.3.1.1.2
Cancel the common factors.
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Step 3.2.3.1.1.2.1
Factor out of .
Step 3.2.3.1.1.2.2
Cancel the common factor.
Step 3.2.3.1.1.2.3
Rewrite the expression.
Step 3.2.3.1.2
Cancel the common factor of and .
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Step 3.2.3.1.2.1
Factor out of .
Step 3.2.3.1.2.2
Cancel the common factors.
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Step 3.2.3.1.2.2.1
Factor out of .
Step 3.2.3.1.2.2.2
Cancel the common factor.
Step 3.2.3.1.2.2.3
Rewrite the expression.
Step 3.2.3.1.3
Move the negative in front of the fraction.
Step 3.2.3.1.4
Cancel the common factor of and .
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Step 3.2.3.1.4.1
Factor out of .
Step 3.2.3.1.4.2
Cancel the common factors.
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Step 3.2.3.1.4.2.1
Multiply by .
Step 3.2.3.1.4.2.2
Cancel the common factor.
Step 3.2.3.1.4.2.3
Rewrite the expression.
Step 3.2.3.1.4.2.4
Divide by .
Step 3.2.3.1.5
Cancel the common factor of .
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Step 3.2.3.1.5.1
Cancel the common factor.
Step 3.2.3.1.5.2
Divide by .
Step 3.2.3.1.6
Move the negative in front of the fraction.