Solve x^2yz=2x

$$x ^ { 2 } y z = 2 x$$

Solve for y

$$\left\{\begin{matrix}y=\frac{2}{xz}\text{, }&z\neq 0\text{ and }x\neq 0\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$zx^{2}y=2x$$

Divide both sides by x^{2}z.

$$\frac{zx^{2}y}{zx^{2}}=\frac{2x}{zx^{2}}$$

Dividing by x^{2}z undoes the multiplication by x^{2}z.

$$y=\frac{2x}{zx^{2}}$$

Divide 2x by x^{2}z.

$$y=\frac{2}{xz}$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=\frac{2}{yz}\text{, }&z\neq 0\text{ and }y\neq 0\end{matrix}\right.$$