Solve -12x-14=4x^2+y

$$- 12 x - 14 = 4 x ^ { 2 } + y$$

Solve for y

$$y=-4x^{2}-12x-14$$

Solution Steps

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

$$4x^{2}+y=-12x-14$$

Subtract 4x^{2} from both sides.

$$y=-12x-14-4x^{2}$$

Solve for x (complex solution)

$$x=\frac{-\sqrt{-y-5}-3}{2}$$

$$x=\frac{\sqrt{-y-5}-3}{2}$$

Solve for x

$$x=\frac{-\sqrt{-y-5}-3}{2}$$

$$x=\frac{\sqrt{-y-5}-3}{2}\text{, }y\leq -5$$