6(2k^2-4k)=0

Solution for 6(2k^2-4k)=0 equation:

Simplifying
6(2k2 + -4k) = 0

Reorder the terms:
6(-4k + 2k2) = 0
(-4k * 6 + 2k2 * 6) = 0
(-24k + 12k2) = 0

Solving
-24k + 12k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '12k'.
12k(-2 + k) = 0

Ignore the factor 12.
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 '(-2 + k)' equal to zero and attempt to solve:

Simplifying
-2 + k = 0

Solving
-2 + k = 0

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

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

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

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

Simplifying
k = 2
Solution
k = {0, 2}