15z(3z-1)=

Solution for 15z(3z-1)= equation:

Simplifying
15z(3z + -1) = 0

Reorder the terms:
15z(-1 + 3z) = 0
(-1 * 15z + 3z * 15z) = 0
(-15z + 45z2) = 0

Solving
-15z + 45z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '15z'.
15z(-1 + 3z) = 0

Ignore the factor 15.
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 + 3z)' equal to zero and attempt to solve:

Simplifying
-1 + 3z = 0

Solving
-1 + 3z = 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 + 3z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3z = 0 + 1
3z = 0 + 1

Combine like terms: 0 + 1 = 1
3z = 1

Divide each side by '3'.
z = 0.3333333333

Simplifying
z = 0.3333333333
Solution
z = {0, 0.3333333333}