36z^2-9z=0

Solution for 36z^2-9z=0 equation:

Simplifying
36z2 + -9z = 0

Reorder the terms:
-9z + 36z2 = 0

Solving
-9z + 36z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '9z'.
9z(-1 + 4z) = 0

Ignore the factor 9.
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 + 4z)' equal to zero and attempt to solve:

Simplifying
-1 + 4z = 0

Solving
-1 + 4z = 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 + 4z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4z = 0 + 1
4z = 0 + 1

Combine like terms: 0 + 1 = 1
4z = 1

Divide each side by '4'.
z = 0.25

Simplifying
z = 0.25
Solution
z = {0, 0.25}