2k^2-8k=0

Solution for 2k^2-8k=0 equation:

Simplifying
2k2 + -8k = 0

Reorder the terms:
-8k + 2k2 = 0

Solving
-8k + 2k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2k'.
2k(-4 + 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 '(-4 + k)' equal to zero and attempt to solve:

Simplifying
-4 + k = 0

Solving
-4 + k = 0

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

Add '4' to each side of the equation.
-4 + 4 + k = 0 + 4

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

Combine like terms: 0 + 4 = 4
k = 4

Simplifying
k = 4
Solution
k = {0, 4}