Solve 6x^2+2y+1=0

$$6 x ^ { 2 } + 2 y + 1 = 0$$

Solve for y

$$y=-3x^{2}-\frac{1}{2}$$

Steps for Solving Linear Equation

Subtract 6x^{2} from both sides. Anything subtracted from zero gives its negation.

$$2y+1=-6x^{2}$$

Subtract 1 from both sides.

$$2y=-6x^{2}-1$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{-6x^{2}-1}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{-6x^{2}-1}{2}$$

Divide -6x^{2}-1 by 2.

$$y=-3x^{2}-\frac{1}{2}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{-12y-6}}{6}$$

$$x=\frac{\sqrt{-12y-6}}{6}$$

Solve for x

$$x=\frac{\sqrt{-12y-6}}{6}$$

$$x=-\frac{\sqrt{-12y-6}}{6}\text{, }y\leq -\frac{1}{2}$$