-3z(-5z+6)=0

Solution for -3z(-5z+6)=0 equation:

Simplifying
-3z(-5z + 6) = 0

Reorder the terms:
-3z(6 + -5z) = 0
(6 * -3z + -5z * -3z) = 0
(-18z + 15z2) = 0

Solving
-18z + 15z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '3z'.
3z(-6 + 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 '(-6 + 5z)' equal to zero and attempt to solve:

Simplifying
-6 + 5z = 0

Solving
-6 + 5z = 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 + 5z = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5z = 0 + 6
5z = 0 + 6

Combine like terms: 0 + 6 = 6
5z = 6

Divide each side by '5'.
z = 1.2

Simplifying
z = 1.2
Solution
z = {0, 1.2}