Solve for x
\left\{\begin{matrix}x\neq -3\text{, }&m=5\\x\neq 1\text{, }&m=1\\x\in \mathrm{R}\text{, }&m>1\text{ and }m<5\\x\in \left(\sqrt{\left(m-5\right)\left(m-1\right)}-m+2,\infty\right)\cup \left(-\infty,-\sqrt{\left(m-5\right)\left(m-1\right)}-m+2\right)\text{, }&m<1\text{ or }m>5\end{matrix}\right.
Solve for m
\left\{\begin{matrix}m>-\frac{x^{2}-4x-1}{2\left(x+1\right)}\text{, }&x>-1\\m\in \mathrm{R}\text{, }&x=-1\\m<-\frac{x^{2}-4x-1}{2\left(x+1\right)}\text{, }&x<-1\end{matrix}\right.
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