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

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

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

Reorder the terms:
4(-2 + k)(2k) = 0

Remove parenthesis around (2k)
4(-2 + k) * 2k = 0

Reorder the terms for easier multiplication:
4 * 2k(-2 + k) = 0

Multiply 4 * 2
8k(-2 + k) = 0
(-2 * 8k + k * 8k) = 0
(-16k + 8k2) = 0

Solving
-16k + 8k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '8k'.
8k(-2 + k) = 0

Ignore the factor 8.
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}