Solve y=(A*x)x/A+B

$$y = \frac { ( A \times x ) x } { A + B }$$

Solve for A

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

Solve for B

$$\left\{\begin{matrix}B=\frac{A\left(x^{2}-y\right)}{y}\text{, }&x\neq 0\text{ and }A\neq 0\text{ and }y\neq 0\\B\neq 0\text{, }&x\neq 0\text{ and }y=0\text{ and }A=0\\B\neq -A\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$