Solve x=yz+e*z^2/2

$$x=yz+ \frac{ e \times { z }^{ 2 } }{ 2 }$$

Solve for y (complex solution)

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

Steps for Solving Linear Equation

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

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

Subtract \frac{ez^{2}}{2} from both sides.

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

Multiply both sides of the equation by 2.

$$2yz=2x-ez^{2}$$

The equation is in standard form.

$$2zy=2x-ez^{2}$$

Divide both sides by 2z.

$$\frac{2zy}{2z}=\frac{2x-ez^{2}}{2z}$$

Dividing by 2z undoes the multiplication by 2z.

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

Divide 2x-ez^{2} by 2z.

$$y=-\frac{ez}{2}+\frac{x}{z}$$

Solve for y

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

Steps for Solving Linear Equation

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

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

Subtract \frac{ez^{2}}{2} from both sides.

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

Multiply both sides of the equation by 2.

$$2yz=2x-ez^{2}$$

The equation is in standard form.

$$2zy=2x-ez^{2}$$

Divide both sides by 2z.

$$\frac{2zy}{2z}=\frac{2x-ez^{2}}{2z}$$

Dividing by 2z undoes the multiplication by 2z.

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

Divide 2x-ez^{2} by 2z.

$$y=-\frac{ez}{2}+\frac{x}{z}$$

Solve for x

$$x=\frac{z\left(2y+ez\right)}{2}$$