# Calculus Examples

To find the roots of the equation, replace with and solve.

Rewrite the equation as .

Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.

Move to the left side of the equation by adding it to both sides.

Factor using the perfect square rule.

Rewrite as .

Rewrite as .

Check the middle term by multiplying and compare this result with the middle term in the original expression.

Simplify.

Factor using the perfect square trinomial rule , where and .

Set equal to and solve for .

Set the factor equal to .

Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.

Divide each term by and simplify.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by to get .

The solution is the result of .