Solve for z 3(3z-6)=0

$3 (3 z - 6) = 0$

Divide each term in $3 (3 z - 6) = 0$ by $3$ and simplify.

Divide each term in $3 (3 z - 6) = 0$ by $3$ .

$\frac{3 (3 z - 6)}{3} = \frac{0}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 (3 z - 6)}{3} = \frac{0}{3}$

Divide $3 z - 6$ by $1$ .

$3 z - 6 = \frac{0}{3}$

Simplify the right side.

Divide $0$ by $3$ .

$3 z - 6 = 0$

Add $6$ to both sides of the equation.

$3 z = 6$

Divide each term in $3 z = 6$ by $3$ and simplify.

Divide each term in $3 z = 6$ by $3$ .

$\frac{3 z}{3} = \frac{6}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 z}{3} = \frac{6}{3}$

Divide $z$ by $1$ .

$z = \frac{6}{3}$

Simplify the right side.

Divide $6$ by $3$ .

$z = 2$