$${ x }^{ 3 } - { x }^{ 2 } =(x-1)CUBE$$
$\left\{\begin{matrix}B=\frac{x^{2}}{CEU}\text{, }&E\neq 0\text{ and }U\neq 0\text{ and }C\neq 0\\B\in \mathrm{C}\text{, }&\left(x=0\text{ and }C=0\right)\text{ or }\left(x=0\text{ and }U=0\right)\text{ or }\left(x=0\text{ and }E=0\right)\text{ or }\left(x=1\text{ and }C=0\right)\text{ or }\left(x=1\text{ and }U=0\right)\text{ or }\left(x=1\text{ and }E=0\right)\text{ or }\left(x=1\text{ and }E\neq 0\text{ and }U\neq 0\text{ and }C\neq 0\right)\end{matrix}\right.$
$\left\{\begin{matrix}C=\frac{x^{2}}{BEU}\text{, }&E\neq 0\text{ and }B\neq 0\text{ and }U\neq 0\\C\in \mathrm{C}\text{, }&\left(x=0\text{ and }U=0\right)\text{ or }\left(x=0\text{ and }B=0\right)\text{ or }\left(x=0\text{ and }E=0\right)\text{ or }\left(x=1\text{ and }U=0\right)\text{ or }\left(x=1\text{ and }B=0\right)\text{ or }\left(x=1\text{ and }E=0\right)\text{ or }\left(x=1\text{ and }E\neq 0\text{ and }B\neq 0\text{ and }U\neq 0\right)\end{matrix}\right.$
$\left\{\begin{matrix}B=\frac{x^{2}}{CEU}\text{, }&E\neq 0\text{ and }U\neq 0\text{ and }C\neq 0\\B\in \mathrm{R}\text{, }&\left(x=0\text{ and }C=0\right)\text{ or }\left(x=0\text{ and }U=0\right)\text{ or }\left(x=0\text{ and }E=0\right)\text{ or }\left(x=1\text{ and }C=0\right)\text{ or }\left(x=1\text{ and }U=0\right)\text{ or }\left(x=1\text{ and }E=0\right)\text{ or }\left(x=1\text{ and }E\neq 0\text{ and }U\neq 0\text{ and }C\neq 0\right)\end{matrix}\right.$
$\left\{\begin{matrix}C=\frac{x^{2}}{BEU}\text{, }&E\neq 0\text{ and }B\neq 0\text{ and }U\neq 0\\C\in \mathrm{R}\text{, }&\left(x=0\text{ and }U=0\right)\text{ or }\left(x=0\text{ and }B=0\right)\text{ or }\left(x=0\text{ and }E=0\right)\text{ or }\left(x=1\text{ and }U=0\right)\text{ or }\left(x=1\text{ and }B=0\right)\text{ or }\left(x=1\text{ and }E=0\right)\text{ or }\left(x=1\text{ and }E\neq 0\text{ and }B\neq 0\text{ and }U\neq 0\right)\end{matrix}\right.$