Solve x^2=-2(y-45)

$${ x }^{ 2 } =-2(y-45)$$

Solve for y

$$y=-\frac{x^{2}}{2}+45$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by y-45.

$$x^{2}=-2y+90$$

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

$$-2y+90=x^{2}$$

Subtract 90 from both sides.

$$-2y=x^{2}-90$$

Divide both sides by -2.

$$\frac{-2y}{-2}=\frac{x^{2}-90}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$y=\frac{x^{2}-90}{-2}$$

Divide x^{2}-90 by -2.

$$y=-\frac{x^{2}}{2}+45$$

Solve for x (complex solution)

$$x=-\sqrt{90-2y}$$

$$x=\sqrt{90-2y}$$

Solve for x

$$x=\sqrt{90-2y}$$

$$x=-\sqrt{90-2y}\text{, }y\leq 45$$