Solve for x
\left\{\begin{matrix}x<1\text{, }&\left(a<-1\text{ and }u=-1\right)\text{ or }\left(u>a\text{ and }u<-1\right)\\x<\frac{a+1}{u+1}\text{, }&u\leq a\text{ and }u<-1\\x\in \left(\frac{a+1}{u+1},1\right)\text{, }&\left(u>a\text{ and }a>-1\right)\text{ or }\left(u>-1\text{ and }a\leq -1\right)\end{matrix}\right.
Solve for u
\left\{\begin{matrix}u<\frac{1+a-x}{x}\text{, }&x<0\\u\in \mathrm{R}\text{, }&a<-1\text{ and }x=0\\u>\frac{1+a-x}{x}\text{, }&x>0\text{ and }x<1\end{matrix}\right.
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