Precalculus Examples

Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Simplify the right side of the equation.
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Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Add and .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Set up the rational expression with the same denominator over the entire equation.
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Multiply each term by a factor of that will equate all the denominators. In this case, all terms need a denominator of . The expression needs to be multiplied by to make the denominator . The expression needs to be multiplied by to make the denominator .
Multiply the expression by a factor of to create the least common denominator (LCD) of .
Multiply by .
Multiply the expression by a factor of to create the least common denominator (LCD) of .
Multiply by .
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
Rewrite the equation as .
Multiply by .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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