Solve for x
\left\{\begin{matrix}x=-\frac{f\left(r-1\right)}{2f-1}\text{, }&\left(f\neq \frac{1}{2}\text{ and }h=0\text{ and }r=1\text{ and }g=0\right)\text{ or }\left(f=\frac{\sqrt{h\left(r+h-1\right)}-h}{r-1}\text{ and }g=h\text{ and }r\neq 1\right)\text{ or }\left(f=-\frac{\sqrt{h\left(r+h-1\right)}+h}{r-1}\text{ and }g=h\text{ and }r\neq 1\right)\\x=2h\text{, }&r=1\text{ and }f=\frac{1}{2}\text{ and }g=h\end{matrix}\right.
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