Solve x^2-24b-9=0

$$x ^ { 2 } - 24 b - 9 = 0$$

Solve for b

$$b=\frac{x^{2}-9}{24}$$

Steps for Solving Linear Equation

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

$$-24b-9=-x^{2}$$

Add 9 to both sides.

$$-24b=-x^{2}+9$$

The equation is in standard form.

$$-24b=9-x^{2}$$

Divide both sides by -24.

$$\frac{-24b}{-24}=\frac{9-x^{2}}{-24}$$

Dividing by -24 undoes the multiplication by -24.

$$b=\frac{9-x^{2}}{-24}$$

Divide -x^{2}+9 by -24.

$$b=\frac{x^{2}}{24}-\frac{3}{8}$$

Solve for x (complex solution)

$$x=-\sqrt{24b+9}$$

$$x=\sqrt{24b+9}$$

Solve for x

$$x=\sqrt{24b+9}$$

$$x=-\sqrt{24b+9}\text{, }b\geq -\frac{3}{8}$$