Solve x^2+8b+15.5=0

$$x ^ { 2 } + 8 b + 15.5 = 0$$

Solve for b

$$b=-\frac{x^{2}}{8}-1.9375$$

Steps for Solving Linear Equation

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

$$8b+15.5=-x^{2}$$

Subtract 15.5 from both sides.

$$8b=-x^{2}-15.5$$

Divide both sides by 8.

$$\frac{8b}{8}=\frac{-x^{2}-15.5}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$b=\frac{-x^{2}-15.5}{8}$$

Divide -x^{2}-15.5 by 8.

$$b=-\frac{x^{2}}{8}-\frac{31}{16}$$

Solve for x (complex solution)

$$x=-\sqrt{-8b-15.5}$$

$$x=\sqrt{-8b-15.5}$$

Solve for x

$$x=\frac{\sqrt{-32b-62}}{2}$$

$$x=-\frac{\sqrt{-32b-62}}{2}\text{, }b\leq -\frac{31}{16}$$