Solve the Following Equation $\cos ^ { 2 } x + \cos x = 0$

Multiple Choice

Solve the following equation. $\cos ^ { 2 } x + \cos x = 0$

A) $x = \frac { 3 \pi } { 4 } + n \pi \text { and } x = \frac { 5 \pi } { 4 } + n \pi$ , where n is an integer
B) $x = \pi + 2 n \pi \text { and } x = \frac { \pi } { 2 } + n \pi$ , where n is an integer
C) $x = \frac { 3 \pi } { 4 } + 2 n \pi \text { and } x = \frac { 5 \pi } { 4 } + 2 n \pi$ , where n is an integer
D) $x = n \pi \text { and } x = \frac { 3 \pi } { 2 } + n \pi$ , where n is an integer
E) $x = \pi + n \pi \text { and } x = \frac { \pi } { 2 } + 2 n \pi$ , where n is an integer