Precalculus Examples

Step 1
Simplify the left side .
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Step 1.1
To write as a fraction with a common denominator, multiply by .
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.3.1
Multiply by .
Step 1.3.2
Multiply by .
Step 1.3.3
Multiply by .
Step 1.3.4
Multiply by .
Step 1.4
Combine the numerators over the common denominator.
Step 1.5
Simplify the numerator.
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Step 1.5.1
Rewrite as .
Step 1.5.2
Expand using the FOIL Method.
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Step 1.5.2.1
Apply the distributive property.
Step 1.5.2.2
Apply the distributive property.
Step 1.5.2.3
Apply the distributive property.
Step 1.5.3
Simplify and combine like terms.
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Step 1.5.3.1
Simplify each term.
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Step 1.5.3.1.1
Multiply by .
Step 1.5.3.1.2
Multiply by .
Step 1.5.3.1.3
Multiply by .
Step 1.5.3.1.4
Multiply by .
Step 1.5.3.2
Add and .
Step 1.5.4
Apply the distributive property.
Step 1.5.5
Simplify.
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Step 1.5.5.1
Move to the left of .
Step 1.5.5.2
Multiply by .
Step 1.5.5.3
Multiply by .
Step 1.5.6
Rewrite as .
Step 1.5.7
Expand using the FOIL Method.
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Step 1.5.7.1
Apply the distributive property.
Step 1.5.7.2
Apply the distributive property.
Step 1.5.7.3
Apply the distributive property.
Step 1.5.8
Simplify and combine like terms.
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Step 1.5.8.1
Simplify each term.
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Step 1.5.8.1.1
Multiply by .
Step 1.5.8.1.2
Move to the left of .
Step 1.5.8.1.3
Multiply by .
Step 1.5.8.2
Add and .
Step 1.5.9
Apply the distributive property.
Step 1.5.10
Simplify.
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Step 1.5.10.1
Move to the left of .
Step 1.5.10.2
Multiply by .
Step 1.5.10.3
Multiply by .
Step 1.5.11
Add and .
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
Cancel the common factor.
Step 3.1.1.1.2
Rewrite the expression.
Step 3.1.1.2
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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