Solve x^2=8-4b

$$x ^ { 2 } = 8 - 4 b$$

Solve for b

$$b=-\frac{x^{2}}{4}+2$$

Steps for Solving Linear Equation

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

$$8-4b=x^{2}$$

Subtract 8 from both sides.

$$-4b=x^{2}-8$$

Divide both sides by -4.

$$\frac{-4b}{-4}=\frac{x^{2}-8}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$b=\frac{x^{2}-8}{-4}$$

Divide x^{2}-8 by -4.

$$b=-\frac{x^{2}}{4}+2$$

Solve for x (complex solution)

$$x=-2\sqrt{2-b}$$

$$x=2\sqrt{2-b}$$

Solve for x

$$x=2\sqrt{2-b}$$

$$x=-2\sqrt{2-b}\text{, }b\leq 2$$