2z(9-9z)=

Solution for 2z(9-9z)= equation:

Simplifying
2z(9 + -9z) = 0
(9 * 2z + -9z * 2z) = 0
(18z + -18z2) = 0

Solving
18z + -18z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '18z'.
18z(1 + -1z) = 0

Ignore the factor 18.
Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

Move all terms containing z to the left, all other terms to the right.

Simplifying
z = 0
Subproblem 2
Set the factor '(1 + -1z)' equal to zero and attempt to solve:

Simplifying
1 + -1z = 0

Solving
1 + -1z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1z = 0 + -1
-1z = 0 + -1

Combine like terms: 0 + -1 = -1
-1z = -1

Divide each side by '-1'.
z = 1

Simplifying
z = 1
Solution
z = {0, 1}