15z^2-9z=0

Solution for 15z^2-9z=0 equation:

Simplifying
15z2 + -9z = 0

Reorder the terms:
-9z + 15z2 = 0

Solving
-9z + 15z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '3z'.
3z(-3 + 5z) = 0

Ignore the factor 3.
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 '(-3 + 5z)' equal to zero and attempt to solve:

Simplifying
-3 + 5z = 0

Solving
-3 + 5z = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5z = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5z = 0 + 3
5z = 0 + 3

Combine like terms: 0 + 3 = 3
5z = 3

Divide each side by '5'.
z = 0.6

Simplifying
z = 0.6
Solution
z = {0, 0.6}