6k^3-9k^2=0

Solution for 6k^3-9k^2=0 equation:

Simplifying
6k3 + -9k2 = 0

Reorder the terms:
-9k2 + 6k3 = 0

Solving
-9k2 + 6k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3k2'.
3k2(-3 + 2k) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'k2' equal to zero and attempt to solve:

Simplifying
k2 = 0

Solving
k2 = 0

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

Simplifying
k2 = 0

Take the square root of each side:
k = {0}
Subproblem 2
Set the factor '(-3 + 2k)' equal to zero and attempt to solve:

Simplifying
-3 + 2k = 0

Solving
-3 + 2k = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2k = 0 + 3
2k = 0 + 3

Combine like terms: 0 + 3 = 3
2k = 3

Divide each side by '2'.
k = 1.5

Simplifying
k = 1.5
Solution
k = {0, 1.5}