Solve kAROLA=x

$$k A R O L A = x$$

Solve for L (complex solution)

$$\left\{\begin{matrix}L=\frac{x}{ORkA^{2}}\text{, }&A\neq 0\text{ and }O\neq 0\text{ and }R\neq 0\text{ and }k\neq 0\\L\in \mathrm{C}\text{, }&\left(A=0\text{ or }O=0\text{ or }R=0\text{ or }k=0\right)\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$kA^{2}ROL=x$$

The equation is in standard form.

$$ORkA^{2}L=x$$

Divide both sides by kA^{2}RO.

$$\frac{ORkA^{2}L}{ORkA^{2}}=\frac{x}{ORkA^{2}}$$

Dividing by kA^{2}RO undoes the multiplication by kA^{2}RO.

$$L=\frac{x}{ORkA^{2}}$$

Solve for L

$$\left\{\begin{matrix}L=\frac{x}{ORkA^{2}}\text{, }&A\neq 0\text{ and }O\neq 0\text{ and }R\neq 0\text{ and }k\neq 0\\L\in \mathrm{R}\text{, }&\left(A=0\text{ or }O=0\text{ or }R=0\text{ or }k=0\right)\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$kA^{2}ROL=x$$

The equation is in standard form.

$$ORkA^{2}L=x$$

Divide both sides by kA^{2}RO.

$$\frac{ORkA^{2}L}{ORkA^{2}}=\frac{x}{ORkA^{2}}$$

Dividing by kA^{2}RO undoes the multiplication by kA^{2}RO.

$$L=\frac{x}{ORkA^{2}}$$

Solve for A (complex solution)

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