# Calculus Examples

Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.
Set up the rational expression with the same denominator over the entire equation.
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 to get .
Multiply the expression by a factor of to create the least common denominator (LCD) of .
Multiply by to get .
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
Rewrite the equation as .
Multiply by to get .
Multiply by to get .
Multiply each term in by
Multiply each term in by .
Simplify .
Multiply by to get .
Multiply by to get .
Multiply by to get .
Check that all solutions found are valid and are part of the domain by substituting them into the original equation.

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