Solve SP=QA

$$S P = Q A$$

Solve for A (complex solution)

$$\left\{\begin{matrix}A=\frac{PS}{Q}\text{, }&Q\neq 0\\A\in \mathrm{C}\text{, }&\left(S=0\text{ or }P=0\right)\text{ and }Q=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$QA=SP$$

The equation is in standard form.

$$QA=PS$$

Divide both sides by Q.

$$\frac{QA}{Q}=\frac{PS}{Q}$$

Dividing by Q undoes the multiplication by Q.

$$A=\frac{PS}{Q}$$

Solve for P (complex solution)

$$\left\{\begin{matrix}P=\frac{AQ}{S}\text{, }&S\neq 0\\P\in \mathrm{C}\text{, }&\left(Q=0\text{ or }A=0\right)\text{ and }S=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$SP=AQ$$

Divide both sides by S.

$$\frac{SP}{S}=\frac{AQ}{S}$$

Dividing by S undoes the multiplication by S.

$$P=\frac{AQ}{S}$$

Solve for A

$$\left\{\begin{matrix}A=\frac{PS}{Q}\text{, }&Q\neq 0\\A\in \mathrm{R}\text{, }&\left(S=0\text{ or }P=0\right)\text{ and }Q=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$QA=SP$$

The equation is in standard form.

$$QA=PS$$

Divide both sides by Q.

$$\frac{QA}{Q}=\frac{PS}{Q}$$

Dividing by Q undoes the multiplication by Q.

$$A=\frac{PS}{Q}$$

Solve for P

$$\left\{\begin{matrix}P=\frac{AQ}{S}\text{, }&S\neq 0\\P\in \mathrm{R}\text{, }&\left(Q=0\text{ or }A=0\right)\text{ and }S=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$SP=AQ$$

Divide both sides by S.

$$\frac{SP}{S}=\frac{AQ}{S}$$

Dividing by S undoes the multiplication by S.

$$P=\frac{AQ}{S}$$