Solve x=1/2*y*z^2

$$x= \frac{ 1 }{ 2 } \times y \times { z }^{ 2 }$$

Solve for y

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

Steps for Solving Linear Equation

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

$$\frac{1}{2}yz^{2}=x$$

The equation is in standard form.

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

Divide both sides by \frac{1}{2}z^{2}.

$$\frac{2\times \frac{z^{2}}{2}y}{z^{2}}=\frac{2x}{z^{2}}$$

Dividing by \frac{1}{2}z^{2} undoes the multiplication by \frac{1}{2}z^{2}.

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

Solve for x

$$x=\frac{yz^{2}}{2}$$