4k(k-6)=0

Solution for 4k(k-6)=0 equation:

Simplifying
4k(k + -6) = 0

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

Solving
-24k + 4k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4k'.
4k(-6 + k) = 0

Ignore the factor 4.
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 '(-6 + k)' equal to zero and attempt to solve:

Simplifying
-6 + k = 0

Solving
-6 + k = 0

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

Add '6' to each side of the equation.
-6 + 6 + k = 0 + 6

Combine like terms: -6 + 6 = 0
0 + k = 0 + 6
k = 0 + 6

Combine like terms: 0 + 6 = 6
k = 6

Simplifying
k = 6
Solution
k = {0, 6}