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 + z) = 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 + z)' equal to zero and attempt to solve:

Simplifying
6 + z = 0

Solving
6 + z = 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 + z = 0 + -6

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

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

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