Solve -10sqrt{3n-20}=-20

$$- 10 \sqrt { 3 n - 20 } = - 20$$

Solve for n

$$n=8$$

Steps for Solving Radical Equations

Divide both sides by -10.

$$\frac{-10\sqrt{3n-20}}{-10}=-\frac{20}{-10}$$

Dividing by -10 undoes the multiplication by -10.

$$\sqrt{3n-20}=-\frac{20}{-10}$$

Divide -20 by -10.

$$\sqrt{3n-20}=2$$

Square both sides of the equation.

$$3n-20=4$$

Add 20 to both sides of the equation.

$$3n-20-\left(-20\right)=4-\left(-20\right)$$

Subtracting -20 from itself leaves 0.

$$3n=4-\left(-20\right)$$

Subtract -20 from 4.

$$3n=24$$

Divide both sides by 3.

$$\frac{3n}{3}=\frac{24}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$n=\frac{24}{3}$$

Divide 24 by 3.

$$n=8$$