Solve -80=-36sqrt{73+8p}+28

$$- 80 = - 36 \sqrt { 73 + 8 p } + 28$$

Solve for p

$$p=-8$$

Steps for Solving Radical Equations

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

$$-36\sqrt{73+8p}+28=-80$$

Subtract 28 from both sides.

$$-36\sqrt{73+8p}=-80-28$$

Subtract 28 from -80 to get -108.

$$-36\sqrt{73+8p}=-108$$

Divide both sides by -36.

$$\sqrt{73+8p}=\frac{-108}{-36}$$

Divide -108 by -36 to get 3.

$$\sqrt{73+8p}=3$$

Square both sides of the equation.

$$8p+73=9$$

Subtract 73 from both sides of the equation.

$$8p+73-73=9-73$$

Subtracting 73 from itself leaves 0.

$$8p=9-73$$

Subtract 73 from 9.

$$8p=-64$$

Divide both sides by 8.

$$\frac{8p}{8}=-\frac{64}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$p=-\frac{64}{8}$$

Divide -64 by 8.

$$p=-8$$