Solve -11=-sqrt{16r+9}+8

$$- 11 = - \sqrt { 16 r + 9 } + 8$$

Solve for r

$$r=22$$

Steps for Solving Radical Equations

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

$$-\sqrt{16r+9}+8=-11$$

Subtract 8 from both sides.

$$-\sqrt{16r+9}=-11-8$$

Subtract 8 from -11 to get -19.

$$-\sqrt{16r+9}=-19$$

Divide both sides by -1.

$$\sqrt{16r+9}=\frac{-19}{-1}$$

Fraction \frac{-19}{-1} can be simplified to 19 by removing the negative sign from both the numerator and the denominator.

$$\sqrt{16r+9}=19$$

Square both sides of the equation.

$$16r+9=361$$

Subtract 9 from both sides of the equation.

$$16r+9-9=361-9$$

Subtracting 9 from itself leaves 0.

$$16r=361-9$$

Subtract 9 from 361.

$$16r=352$$

Divide both sides by 16.

$$\frac{16r}{16}=\frac{352}{16}$$

Dividing by 16 undoes the multiplication by 16.

$$r=\frac{352}{16}$$

Divide 352 by 16.

$$r=22$$