Find All Solutions to the Equation $$\sin ^ { 2 } x + \sin x = 0$$

Multiple Choice

Find all solutions to the equation.
- $$\sin ^ { 2 } x + \sin x = 0$$

A) $\left\{ n \pi , \frac { \pi } { 2 } + 2 n \pi \mid n = 0 , \pm 1 , \pm 2 , \ldots . \right\}$
B) $\left\{ 2 n \pi , \frac { 3 \pi } { 2 } + 2 n \pi \mid n = 0 , \pm 1 , \pm 2 , \ldots . \right\}$
C) $\left\{ \frac { \pi } { 3 } + 2 n \pi , \frac { 2 \pi } { 3 } + 2 n \pi \mid n = 0 , \pm 1 , \pm 2 , \ldots . . \right.$
D) $\left\{ \mathrm { n } \pi , \frac { 3 \pi } { 2 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \right\}$