=6k-2k^2

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

Simplifying
0 = 6k + -2k2

Solving
0 = 6k + -2k2

Solving for variable 'k'.
Remove the zero:
-6k + 2k2 = 6k + -2k2 + -6k + 2k2

Reorder the terms:
-6k + 2k2 = 6k + -6k + -2k2 + 2k2

Combine like terms: 6k + -6k = 0
-6k + 2k2 = 0 + -2k2 + 2k2
-6k + 2k2 = -2k2 + 2k2

Combine like terms: -2k2 + 2k2 = 0
-6k + 2k2 = 0

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

Ignore the factor 2.
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}