0=2k-k^2

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

Simplifying
0 = 2k + -1k2

Solving
0 = 2k + -1k2

Solving for variable 'k'.
Remove the zero:
-2k + k2 = 2k + -1k2 + -2k + k2

Reorder the terms:
-2k + k2 = 2k + -2k + -1k2 + k2

Combine like terms: 2k + -2k = 0
-2k + k2 = 0 + -1k2 + k2
-2k + k2 = -1k2 + k2

Combine like terms: -1k2 + k2 = 0
-2k + k2 = 0

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

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}