Solve R=xyQ/z^2

$$R = \frac { x y Q } { z ^ { 2 } }$$

Solve for Q (complex solution)

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

Steps for Solving Linear Equation

Multiply both sides of the equation by z^{2}.

$$Rz^{2}=xyQ$$

Swap sides so that all variable terms are on the left hand side.

$$xyQ=Rz^{2}$$

Divide both sides by xy.

$$\frac{xyQ}{xy}=\frac{Rz^{2}}{xy}$$

Dividing by xy undoes the multiplication by xy.

$$Q=\frac{Rz^{2}}{xy}$$

Solve for Q

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

Steps for Solving Linear Equation

Multiply both sides of the equation by z^{2}.

$$Rz^{2}=xyQ$$

Swap sides so that all variable terms are on the left hand side.

$$xyQ=Rz^{2}$$

Divide both sides by xy.

$$\frac{xyQ}{xy}=\frac{Rz^{2}}{xy}$$

Dividing by xy undoes the multiplication by xy.

$$Q=\frac{Rz^{2}}{xy}$$

Solve for R

$$R=\frac{Qxy}{z^{2}}$$

$$z\neq 0$$