Solve pX=XK

$$p X = X K$$

Solve for K

$$\left\{\begin{matrix}\\K=p\text{, }&\text{unconditionally}\\K\in \mathrm{R}\text{, }&X=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$XK=pX$$

The equation is in standard form.

$$XK=Xp$$

Divide both sides by X.

$$\frac{XK}{X}=\frac{Xp}{X}$$

Dividing by X undoes the multiplication by X.

$$K=\frac{Xp}{X}$$

Divide pX by X.

$$K=p$$

Solve for X

$$\left\{\begin{matrix}\\X=0\text{, }&\text{unconditionally}\\X\in \mathrm{R}\text{, }&p=K\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract XK from both sides.

$$pX-XK=0$$

Combine all terms containing X.

$$\left(p-K\right)X=0$$

Divide 0 by p-K.

$$X=0$$