Question 979299
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sin^2(x)\ +\ \sin(x)\ =\ 0]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sin(x)\left(\sin(x)\ +\ 1\right)\ =\ 0]


So


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sin(x)\ =\ 0\ \Right\ x\ =\ k\pi\ \forall\ k\ \in\ \mathbb{Z}]


Or


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sin(x)\ =\ -1\ \Right\ x\ =\ \frac{3\pi}{2}\ +\ 2k\pi\ \forall\ k\ \in\ \mathbb{Z}]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \