Solve y^2=8xHy

$$y ^ { 2 } = 8 x H y$$

Solve for H (complex solution)

$$\left\{\begin{matrix}H=\frac{y}{8x}\text{, }&x\neq 0\\H\in \mathrm{C}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$8xHy=y^{2}$$

The equation is in standard form.

$$8xyH=y^{2}$$

Divide both sides by 8xy.

$$\frac{8xyH}{8xy}=\frac{y^{2}}{8xy}$$

Dividing by 8xy undoes the multiplication by 8xy.

$$H=\frac{y^{2}}{8xy}$$

Divide y^{2} by 8xy.

$$H=\frac{y}{8x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{y}{8H}\text{, }&H\neq 0\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$8xHy=y^{2}$$

The equation is in standard form.

$$8Hyx=y^{2}$$

Divide both sides by 8Hy.

$$\frac{8Hyx}{8Hy}=\frac{y^{2}}{8Hy}$$

Dividing by 8Hy undoes the multiplication by 8Hy.

$$x=\frac{y^{2}}{8Hy}$$

Divide y^{2} by 8Hy.

$$x=\frac{y}{8H}$$

Solve for H

$$\left\{\begin{matrix}H=\frac{y}{8x}\text{, }&x\neq 0\\H\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$8xHy=y^{2}$$

The equation is in standard form.

$$8xyH=y^{2}$$

Divide both sides by 8xy.

$$\frac{8xyH}{8xy}=\frac{y^{2}}{8xy}$$

Dividing by 8xy undoes the multiplication by 8xy.

$$H=\frac{y^{2}}{8xy}$$

Divide y^{2} by 8xy.

$$H=\frac{y}{8x}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{y}{8H}\text{, }&H\neq 0\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$8xHy=y^{2}$$

The equation is in standard form.

$$8Hyx=y^{2}$$

Divide both sides by 8Hy.

$$\frac{8Hyx}{8Hy}=\frac{y^{2}}{8Hy}$$

Dividing by 8Hy undoes the multiplication by 8Hy.

$$x=\frac{y^{2}}{8Hy}$$

Divide y^{2} by 8Hy.

$$x=\frac{y}{8H}$$