-2z(6z-1)=0

Solution for -2z(6z-1)=0 equation:

Simplifying
-2z(6z + -1) = 0

Reorder the terms:
-2z(-1 + 6z) = 0
(-1 * -2z + 6z * -2z) = 0
(2z + -12z2) = 0

Solving
2z + -12z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2z'.
2z(1 + -6z) = 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 '(1 + -6z)' equal to zero and attempt to solve:

Simplifying
1 + -6z = 0

Solving
1 + -6z = 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 + -6z = 0 + -1

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

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

Divide each side by '-6'.
z = 0.1666666667

Simplifying
z = 0.1666666667
Solution
z = {0, 0.1666666667}