$$m x ^ { 2 } - 2 ( m - 1 ) x + ( m + 2 ) = 0$$
$m=-\frac{2\left(x+1\right)}{\left(x-1\right)^{2}}$
$x\neq 1$
$\left\{\begin{matrix}x=\frac{m+\sqrt{1-4m}-1}{m}\text{; }x=\frac{m-\sqrt{1-4m}-1}{m}\text{, }&m\neq 0\\x=-1\text{, }&m=0\end{matrix}\right.$
$\left\{\begin{matrix}x=\frac{m+\sqrt{1-4m}-1}{m}\text{; }x=\frac{m-\sqrt{1-4m}-1}{m}\text{, }&m\neq 0\text{ and }m\leq \frac{1}{4}\\x=-1\text{, }&m=0\end{matrix}\right.$
