Precalculus Examples

Step 1
Simplify the left side .
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Step 1.1
Simplify each term.
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Step 1.1.1
Rewrite as .
Step 1.1.2
Expand using the FOIL Method.
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Step 1.1.2.1
Apply the distributive property.
Step 1.1.2.2
Apply the distributive property.
Step 1.1.2.3
Apply the distributive property.
Step 1.1.3
Simplify and combine like terms.
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Step 1.1.3.1
Simplify each term.
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Step 1.1.3.1.1
Multiply by .
Step 1.1.3.1.2
Move to the left of .
Step 1.1.3.1.3
Rewrite as .
Step 1.1.3.1.4
Rewrite as .
Step 1.1.3.1.5
Multiply by .
Step 1.1.3.2
Subtract from .
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
Simplify terms.
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Step 1.3.1
Combine and .
Step 1.3.2
Combine the numerators over the common denominator.
Step 1.4
Simplify the numerator.
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Step 1.4.1
Move to the left of .
Step 1.4.2
Rewrite as .
Step 1.4.3
Expand using the FOIL Method.
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Step 1.4.3.1
Apply the distributive property.
Step 1.4.3.2
Apply the distributive property.
Step 1.4.3.3
Apply the distributive property.
Step 1.4.4
Simplify and combine like terms.
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Step 1.4.4.1
Simplify each term.
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Step 1.4.4.1.1
Multiply by .
Step 1.4.4.1.2
Move to the left of .
Step 1.4.4.1.3
Multiply by .
Step 1.4.4.2
Add and .
Step 1.5
To write as a fraction with a common denominator, multiply by .
Step 1.6
Simplify terms.
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Step 1.6.1
Combine and .
Step 1.6.2
Combine the numerators over the common denominator.
Step 1.7
Multiply by .
Step 1.8
Simplify terms.
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Step 1.8.1
Write as a fraction with a common denominator.
Step 1.8.2
Combine the numerators over the common denominator.
Step 1.8.3
Add and .
Step 1.8.4
Factor out of .
Step 1.8.5
Factor out of .
Step 1.8.6
Factor out of .
Step 1.8.7
Factor out of .
Step 1.8.8
Factor out of .
Step 1.8.9
Factor out of .
Step 1.8.10
Factor out of .
Step 1.8.11
Rewrite as .
Step 1.8.12
Factor out of .
Step 1.8.13
Simplify the expression.
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Step 1.8.13.1
Rewrite as .
Step 1.8.13.2
Move the negative in front of the fraction.
Step 2
Multiply both sides by .
Step 3
Simplify.
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Step 3.1
Simplify the left side.
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Step 3.1.1
Simplify .
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Step 3.1.1.1
Cancel the common factor of .
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Step 3.1.1.1.1
Move the leading negative in into the numerator.
Step 3.1.1.1.2
Cancel the common factor.
Step 3.1.1.1.3
Rewrite the expression.
Step 3.1.1.2
Apply the distributive property.
Step 3.1.1.3
Simplify.
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Step 3.1.1.3.1
Multiply by .
Step 3.1.1.3.2
Multiply by .
Step 3.1.1.3.3
Multiply .
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Step 3.1.1.3.3.1
Multiply by .
Step 3.1.1.3.3.2
Multiply by .
Step 3.1.1.3.4
Multiply by .
Step 3.1.1.3.5
Multiply by .
Step 3.1.1.4
Move .
Step 3.2
Simplify the right side.
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Step 3.2.1
Multiply by .
Step 4
Set the equation equal to zero.
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Step 4.1
Subtract from both sides of the equation.
Step 4.2
Subtract from .
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