6k^2-18k=0

Solution for 6k^2-18k=0 equation:

Simplifying
6k2 + -18k = 0

Reorder the terms:
-18k + 6k2 = 0

Solving
-18k + 6k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '6k'.
6k(-3 + k) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(-3 + k)' equal to zero and attempt to solve:

Simplifying
-3 + k = 0

Solving
-3 + k = 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 + k = 0 + 3

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

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

Simplifying
k = 3
Solution
k = {0, 3}