### Home > CCA2 > Chapter 3 > Lesson 3.2.5 > Problem3-117

3-117.

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 ✎

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

Factoring:
(x + 3) (x + 11) = 0
x = −3 or −11

Completing the square:
$x^2+14x+33+16=16$
$x^2+14x+49=16$
$(x+7)^2=16$
$x+7=4$ or $x+7=−4$
$x=−3$ or $−11$