Solve x^2=-12(y+3)

$$x ^ { 2 } = - 12 ( y + 3 )$$

Solve for y

$$y=-\frac{x^{2}}{12}-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -12 by y+3.

$$x^{2}=-12y-36$$

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

$$-12y-36=x^{2}$$

Add 36 to both sides.

$$-12y=x^{2}+36$$

Divide both sides by -12.

$$\frac{-12y}{-12}=\frac{x^{2}+36}{-12}$$

Dividing by -12 undoes the multiplication by -12.

$$y=\frac{x^{2}+36}{-12}$$

Divide x^{2}+36 by -12.

$$y=-\frac{x^{2}}{12}-3$$

Solve for x (complex solution)

$$x=-2\sqrt{-3y-9}$$

$$x=2\sqrt{-3y-9}$$

Solve for x

$$x=2\sqrt{-3y-9}$$

$$x=-2\sqrt{-3y-9}\text{, }y\leq -3$$