Question

Solve 2 cos^2 x + 3 sin x = 0​

Answer 1

sinx= -2cos square x/3

Answer 2

Solution for x is,

\begin{eqalign}
&$x=2\pi n_{2}-i\ln(\sqrt{3}-\sqrt{2})\text{, }n_{2}\in \mathrm{Z}$\\
&$x=\pi n_{3}-i\ln(\sqrt{2}+\sqrt{3})\text{, }n_{3}\in \mathrm{Z}$\\
&$x=2\pi n_{1}-i\ln(\sqrt{2}-\sqrt{3})\text{, }n_{1}\in \mathrm{Z}$
\end{eqalign}