$\left\{\begin{matrix}x>-\frac{\sqrt{w+1}+1}{w}\text{, }&w>-\frac{3}{4}\text{ and }w<0\\x>2\text{, }&w<-1\text{ or }\left(w\geq -1\text{ and }w\leq -\frac{3}{4}\right)\\x<-\frac{1}{3}\text{, }&w<-1\text{ or }\left(w\geq -1\text{ and }w\leq 0\right)\\x\in \left(-\frac{\sqrt{w+1}+1}{w},-\frac{1}{3}\right)\text{, }&w>0\text{ and }w<15\end{matrix}\right.$

$w<\frac{1-2x}{x^{2}}$
$x<-\frac{1}{3}\text{ or }x>2$