Solve x^2=6ay

$$x ^ { 2 } = 6 a y$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=\frac{x^{2}}{6y}\text{, }&y\neq 0\\a\in \mathrm{C}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$6ay=x^{2}$$

The equation is in standard form.

$$6ya=x^{2}$$

Divide both sides by 6y.

$$\frac{6ya}{6y}=\frac{x^{2}}{6y}$$

Dividing by 6y undoes the multiplication by 6y.

$$a=\frac{x^{2}}{6y}$$

Solve for a

$$\left\{\begin{matrix}a=\frac{x^{2}}{6y}\text{, }&y\neq 0\\a\in \mathrm{R}\text{, }&x=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$6ay=x^{2}$$

The equation is in standard form.

$$6ya=x^{2}$$

Divide both sides by 6y.

$$\frac{6ya}{6y}=\frac{x^{2}}{6y}$$

Dividing by 6y undoes the multiplication by 6y.

$$a=\frac{x^{2}}{6y}$$

Solve for x (complex solution)

$$x=-\sqrt{y}\sqrt{6a}$$

$$x=\sqrt{y}\sqrt{6a}$$

Solve for x

$$x=\sqrt{6ay}$$

$$x=-\sqrt{6ay}\text{, }\left(y\geq 0\text{ and }a\geq 0\right)\text{ or }\left(a\leq 0\text{ and }y\leq 0\right)$$