Solve for u
u=-\frac{|x+7|-2}{x}
u=\frac{|x+7|+2}{x}\text{, }x\neq 0
Solve for x
\left\{\begin{matrix}x=-\frac{9}{1-u}\text{, }&u>1\text{ or }u\leq -\frac{2}{7}\\x=-\frac{5}{u+1}\text{, }&u\neq -1\\x=-\frac{9}{1-u}\text{, }&u\geq -\frac{2}{7}\text{ and }u<1\end{matrix}\right.
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