Solve 2x/bc-x/c=bc

$$\frac { 2 x } { b c } - \frac { x } { c } = b c$$

Solve for b (complex solution)

$$b=-\frac{\sqrt{x\left(x+8c^{2}\right)}+x}{2c^{2}}$$

$$b=-\frac{-\sqrt{x\left(x+8c^{2}\right)}+x}{2c^{2}}\text{, }c\neq 0\text{ and }x\neq 0$$

Solve for c (complex solution)

$$c=-\frac{\sqrt{x}\sqrt{2-b}}{b}$$

$$c=\frac{\sqrt{x}\sqrt{2-b}}{b}\text{, }b\neq 2\text{ and }x\neq 0\text{ and }b\neq 0$$

Solve for b

$$\left\{\begin{matrix}b=-\frac{\sqrt{x\left(x+8c^{2}\right)}+x}{2c^{2}}\text{; }b=-\frac{-\sqrt{x\left(x+8c^{2}\right)}+x}{2c^{2}}\text{, }&x\neq 0\text{ and }c\neq 0\text{ and }x\leq -8c^{2}\\b=-\frac{\sqrt{x}\left(\sqrt{x+8c^{2}}+\sqrt{x}\right)}{2c^{2}}\text{; }b=-\frac{\sqrt{x}\left(-\sqrt{x+8c^{2}}+\sqrt{x}\right)}{2c^{2}}\text{, }&c\neq 0\text{ and }x>0\end{matrix}\right.$$

Solve for c

$$c=\frac{\sqrt{x\left(2-b\right)}}{|b|}$$

$$c=-\frac{\sqrt{x\left(2-b\right)}}{|b|}\text{, }\left(b\neq 0\text{ and }b<2\text{ and }x>0\right)\text{ or }\left(b>2\text{ and }x<0\right)$$