Solve y^2-2x-2=0

$$y ^ { 2 } - 2 x - 2 = 0$$

Solve for x

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

Steps for Solving Linear Equation

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

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

Add 2 to both sides.

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

The equation is in standard form.

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

Divide both sides by -2.

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

Dividing by -2 undoes the multiplication by -2.

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

Divide -y^{2}+2 by -2.

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

Solve for y (complex solution)

$$y=-\sqrt{2\left(x+1\right)}$$

$$y=\sqrt{2\left(x+1\right)}$$

Solve for y

$$y=\sqrt{2\left(x+1\right)}$$

$$y=-\sqrt{2\left(x+1\right)}\text{, }x\geq -1$$