2k^2=4k

Solution for 2k^2=4k equation:

Simplifying
2k2 = 4k

Solving
2k2 = 4k

Solving for variable 'k'.

Reorder the terms:
-4k + 2k2 = 4k + -4k

Combine like terms: 4k + -4k = 0
-4k + 2k2 = 0

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