### Home > CCA > Chapter 11 > Lesson 11.3.5 > Problem11-137

11-137.

Solve the quadratic below twice: once by factoring and using the Zero Product Property and once by completing the square. Verify that the solutions match.

$x^2+14x+33=0$

Completing the square:

Add $16$ to both sides of the equation. Solve for $x$.

Factoring and Zero Product Property:

Factor the quadratic, then find its roots from the factors.

$x=−3\ \text{or}\ −11$