0=2z^2-12z

Solution for 0=2z^2-12z equation:

Simplifying
0 = 2z2 + -12z

Reorder the terms:
0 = -12z + 2z2

Solving
0 = -12z + 2z2

Solving for variable 'z'.
Remove the zero:
12z + -2z2 = -12z + 2z2 + 12z + -2z2

Reorder the terms:
12z + -2z2 = -12z + 12z + 2z2 + -2z2

Combine like terms: -12z + 12z = 0
12z + -2z2 = 0 + 2z2 + -2z2
12z + -2z2 = 2z2 + -2z2

Combine like terms: 2z2 + -2z2 = 0
12z + -2z2 = 0

Factor out the Greatest Common Factor (GCF), '2z'.
2z(6 + -1z) = 0

Ignore the factor 2.
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 '(6 + -1z)' equal to zero and attempt to solve:

Simplifying
6 + -1z = 0

Solving
6 + -1z = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = 0 + -6
-1z = 0 + -6

Combine like terms: 0 + -6 = -6
-1z = -6

Divide each side by '-1'.
z = 6

Simplifying
z = 6
Solution
z = {0, 6}