$\left\{\begin{matrix}f=-\frac{3\left(1-x\right)\left(4x-1\right)}{gox}\text{, }&x\neq 0\text{ and }g\neq 0\text{ and }o\neq 0\\f\in \mathrm{C}\text{, }&\left(x=1\text{ and }g=0\right)\text{ or }\left(x=\frac{1}{4}\text{ and }g=0\right)\text{ or }\left(o=0\text{ and }g\neq 0\text{ and }x=\frac{1}{4}\right)\text{ or }\left(o=0\text{ and }g\neq 0\text{ and }x=1\right)\end{matrix}\right.$

$\left\{\begin{matrix}g=-\frac{3\left(1-x\right)\left(4x-1\right)}{fox}\text{, }&x\neq 0\text{ and }o\neq 0\text{ and }f\neq 0\\g\in \mathrm{C}\text{, }&\left(x=1\text{ and }o=0\right)\text{ or }\left(x=\frac{1}{4}\text{ and }o=0\right)\text{ or }\left(f=0\text{ and }o\neq 0\text{ and }x=\frac{1}{4}\right)\text{ or }\left(f=0\text{ and }o\neq 0\text{ and }x=1\right)\end{matrix}\right.$

$\left\{\begin{matrix}f=-\frac{3\left(1-x\right)\left(4x-1\right)}{gox}\text{, }&x\neq 0\text{ and }g\neq 0\text{ and }o\neq 0\\f\in \mathrm{R}\text{, }&\left(x=1\text{ and }g=0\right)\text{ or }\left(x=\frac{1}{4}\text{ and }g=0\right)\text{ or }\left(o=0\text{ and }g\neq 0\text{ and }x=\frac{1}{4}\right)\text{ or }\left(o=0\text{ and }g\neq 0\text{ and }x=1\right)\end{matrix}\right.$

$\left\{\begin{matrix}g=-\frac{3\left(1-x\right)\left(4x-1\right)}{fox}\text{, }&x\neq 0\text{ and }o\neq 0\text{ and }f\neq 0\\g\in \mathrm{R}\text{, }&\left(x=1\text{ and }o=0\right)\text{ or }\left(x=\frac{1}{4}\text{ and }o=0\right)\text{ or }\left(f=0\text{ and }o\neq 0\text{ and }x=\frac{1}{4}\right)\text{ or }\left(f=0\text{ and }o\neq 0\text{ and }x=1\right)\end{matrix}\right.$