Solve y^2=-4a

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

Solve for a

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

Steps for Solving Linear Equation

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

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

Divide both sides by -4.

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

Dividing by -4 undoes the multiplication by -4.

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

Divide y^{2} by -4.

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

Solve for y (complex solution)

$$y=-2i\sqrt{a}$$

$$y=2i\sqrt{a}$$

Solve for y

$$y=2\sqrt{-a}$$

$$y=-2\sqrt{-a}\text{, }a\leq 0$$