# Algebra Examples

,

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

For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .

Factor out of .

Rewrite as plus

Apply the distributive property.

Remove parentheses.

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

Factor out the greatest common factor (GCF) from each group.

Factor the polynomial by factoring out the greatest common factor, .

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.

Set the factor equal to .

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

The interval contains . Add it to the final solution.

is on the interval

The interval does not contain . It is not part of the final solution.

is not on the interval

The final solution for within the interval is .