Solve =-AB*BC=-xy

$$= - A B \times B C = - x y$$

Solve for A (complex solution)

$$\left\{\begin{matrix}A=\frac{xy}{CB^{2}}\text{, }&B\neq 0\text{ and }C\neq 0\\A\in \mathrm{C}\text{, }&\left(x=0\text{ and }C=0\right)\text{ or }\left(x=0\text{ and }B=0\right)\text{ or }\left(y=0\text{ and }C=0\right)\text{ or }\left(y=0\text{ and }B=0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply B and B to get B^{2}.

$$\left(-A\right)B^{2}C=\left(-x\right)y$$

Reorder the terms.

$$-ACB^{2}=-xy$$

Cancel out -1 on both sides.

$$ACB^{2}=xy$$

The equation is in standard form.

$$CB^{2}A=xy$$

Divide both sides by CB^{2}.

$$\frac{CB^{2}A}{CB^{2}}=\frac{xy}{CB^{2}}$$

Dividing by CB^{2} undoes the multiplication by CB^{2}.

$$A=\frac{xy}{CB^{2}}$$

Solve for A

$$\left\{\begin{matrix}A=\frac{xy}{CB^{2}}\text{, }&B\neq 0\text{ and }C\neq 0\\A\in \mathrm{R}\text{, }&\left(x=0\text{ and }C=0\right)\text{ or }\left(x=0\text{ and }B=0\right)\text{ or }\left(y=0\text{ and }C=0\right)\text{ or }\left(y=0\text{ and }B=0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply B and B to get B^{2}.

$$\left(-A\right)B^{2}C=\left(-x\right)y$$

Reorder the terms.

$$-ACB^{2}=-xy$$

Cancel out -1 on both sides.

$$ACB^{2}=xy$$

The equation is in standard form.

$$CB^{2}A=xy$$

Divide both sides by CB^{2}.

$$\frac{CB^{2}A}{CB^{2}}=\frac{xy}{CB^{2}}$$

Dividing by CB^{2} undoes the multiplication by CB^{2}.

$$A=\frac{xy}{CB^{2}}$$

Solve for B (complex solution)

$$\left\{\begin{matrix}B=-A^{-\frac{1}{2}}C^{-\frac{1}{2}}\sqrt{x}\sqrt{y}\text{; }B=A^{-\frac{1}{2}}C^{-\frac{1}{2}}\sqrt{x}\sqrt{y}\text{, }&C\neq 0\text{ and }A\neq 0\\B\in \mathrm{C}\text{, }&\left(x=0\text{ and }A=0\right)\text{ or }\left(x=0\text{ and }C=0\right)\text{ or }\left(y=0\text{ and }A=0\right)\text{ or }\left(y=0\text{ and }C=0\right)\end{matrix}\right.$$