Solve y^2=4ax

$$y ^ { 2 } = 4 a x$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=\frac{y^{2}}{4x}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$4ax=y^{2}$$

The equation is in standard form.

$$4xa=y^{2}$$

Divide both sides by 4x.

$$\frac{4xa}{4x}=\frac{y^{2}}{4x}$$

Dividing by 4x undoes the multiplication by 4x.

$$a=\frac{y^{2}}{4x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{y^{2}}{4a}\text{, }&a\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$4ax=y^{2}$$

Divide both sides by 4a.

$$\frac{4ax}{4a}=\frac{y^{2}}{4a}$$

Dividing by 4a undoes the multiplication by 4a.

$$x=\frac{y^{2}}{4a}$$

Solve for a

$$\left\{\begin{matrix}a=\frac{y^{2}}{4x}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$4ax=y^{2}$$

The equation is in standard form.

$$4xa=y^{2}$$

Divide both sides by 4x.

$$\frac{4xa}{4x}=\frac{y^{2}}{4x}$$

Dividing by 4x undoes the multiplication by 4x.

$$a=\frac{y^{2}}{4x}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{y^{2}}{4a}\text{, }&a\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$4ax=y^{2}$$

Divide both sides by 4a.

$$\frac{4ax}{4a}=\frac{y^{2}}{4a}$$

Dividing by 4a undoes the multiplication by 4a.

$$x=\frac{y^{2}}{4a}$$