### Home > CAAC > Chapter 12 > Lesson 12.1.3 > Problem 12-28

12-28.

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. Homework Help ✎

*x*^{2} + 14*x* + 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 or −11