Solve -2sqrt{24x}+13=-11

$$- 2 \sqrt { 24 x } + 13 = - 11$$

Solve for x

$$x=6$$

Steps for Solving Radical Equations

Subtract 13 from both sides of the equation.

$$-2\sqrt{24x}+13-13=-11-13$$

Subtracting 13 from itself leaves 0.

$$-2\sqrt{24x}=-11-13$$

Subtract 13 from -11.

$$-2\sqrt{24x}=-24$$

Divide both sides by -2.

$$\frac{-2\sqrt{24x}}{-2}=-\frac{24}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$\sqrt{24x}=-\frac{24}{-2}$$

Divide -24 by -2.

$$\sqrt{24x}=12$$

Square both sides of the equation.

$$24x=144$$

Divide both sides by 24.

$$\frac{24x}{24}=\frac{144}{24}$$

Dividing by 24 undoes the multiplication by 24.

$$x=\frac{144}{24}$$

Divide 144 by 24.

$$x=6$$