The leading coefficient is **NOT** 1.
Divide all terms by 4 (the leading coefficient).
[ *Note:* In some problems, this division process may create fractions, which is OK. Just be careful when working with the fractions.]
Move the constant to the right hand side.
Prepare the equation to receive the added value (boxes).
Take half of the *x*-term's coefficient and square it. Add this value to both sides (fill the boxes). Combine like terms.
Factor the perfect square trinomial on the left side.
**Take the square root **of both sides. Be sure to consider "plus and minus".
Solve for *x*. Clearly indicate your answers.
Prepare a check of the answers.
4(4)^{2} - 8(4) - 32 = 0 *check*
4(-2)^{2} - 8(-2) - 32 = 0 *check* |