Solve for x
\left\{\begin{matrix}x\neq 1\text{, }&k=-4\\x\neq -1\text{, }&k=8\\x\in \mathrm{R}\text{, }&k>-4\text{ and }k<8\\x\in \left(\frac{\sqrt{\left(k-8\right)\left(k+4\right)}-k+2}{6},\infty\right)\cup \left(-\infty,\frac{-\sqrt{\left(k-8\right)\left(k+4\right)}-k+2}{6}\right)\text{, }&k<-4\text{ or }k>8\end{matrix}\right.
Solve for k
\left\{\begin{matrix}k>-3x+2-\frac{3}{x}\text{, }&x>0\\k\in \mathrm{R}\text{, }&x=0\\k<-3x+2-\frac{3}{x}\text{, }&x<0\end{matrix}\right.
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