Solve y^2=-9x

$${ y }^{ 2 } =-9x$$

Solve for x

$$x=-\frac{y^{2}}{9}$$

Steps for Solving Linear Equation

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

$$-9x=y^{2}$$

Divide both sides by -9.

$$\frac{-9x}{-9}=\frac{y^{2}}{-9}$$

Dividing by -9 undoes the multiplication by -9.

$$x=\frac{y^{2}}{-9}$$

Divide y^{2} by -9.

$$x=-\frac{y^{2}}{9}$$

Solve for y (complex solution)

$$y=-3i\sqrt{x}$$

$$y=3i\sqrt{x}$$

Solve for y

$$y=3\sqrt{-x}$$

$$y=-3\sqrt{-x}\text{, }x\leq 0$$