Solve -9=-3sqrt{3a-6}

$$- 9 = - 3 \sqrt { 3 a - 6 }$$

Solve for a

$$a=5$$

Steps for Solving Radical Equations

Divide both sides by -3.

$$\frac{-9}{-3}=\sqrt{3a-6}$$

Divide -9 by -3 to get 3.

$$3=\sqrt{3a-6}$$

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

$$\sqrt{3a-6}=3$$

Square both sides of the equation.

$$3a-6=9$$

Add 6 to both sides of the equation.

$$3a-6-\left(-6\right)=9-\left(-6\right)$$

Subtracting -6 from itself leaves 0.

$$3a=9-\left(-6\right)$$

Subtract -6 from 9.

$$3a=15$$

Divide both sides by 3.

$$\frac{3a}{3}=\frac{15}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$a=\frac{15}{3}$$

Divide 15 by 3.

$$a=5$$