4k(2k-6)=

Solution for 4k(2k-6)= equation:

Simplifying
4k(2k + -6) = 0

Reorder the terms:
4k(-6 + 2k) = 0
(-6 * 4k + 2k * 4k) = 0
(-24k + 8k2) = 0

Solving
-24k + 8k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '8k'.
8k(-3 + 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 '(-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}