Solve -2>mx^2+2mx-4

$$- 2 > m x ^ { 2 } + 2 m x - 4$$

Solve for x

$$\left\{\begin{matrix}x\neq -1\text{, }&m=-2\\x\in \left(-\infty,\frac{\sqrt{m\left(m+2\right)}-m}{m}\right)\cup \left(-\frac{\sqrt{m\left(m+2\right)}+m}{m},\infty\right)\text{, }&m<-2\\x\in \left(-\frac{\sqrt{m\left(m+2\right)}+m}{m},\frac{\sqrt{m\left(m+2\right)}-m}{m}\right)\text{, }&m>0\\x\in \mathrm{R}\text{, }&m>-2\text{ and }m\leq 0\end{matrix}\right.$$

Solve for m

$$\left\{\begin{matrix}m>\frac{2}{x\left(x+2\right)}\text{, }&x>-2\text{ and }x<0\\m\in \mathrm{R}\text{, }&x=-2\text{ or }x=0\\m<\frac{2}{x\left(x+2\right)}\text{, }&x<-2\text{ or }x>0\end{matrix}\right.$$