=4*k^2-24*k

Solution for =4*k^2-24*k equation:

Simplifying
0 = 4k2 + -24k

Reorder the terms:
0 = -24k + 4k2

Solving
0 = -24k + 4k2

Solving for variable 'k'.
Remove the zero:
24k + -4k2 = -24k + 4k2 + 24k + -4k2

Reorder the terms:
24k + -4k2 = -24k + 24k + 4k2 + -4k2

Combine like terms: -24k + 24k = 0
24k + -4k2 = 0 + 4k2 + -4k2
24k + -4k2 = 4k2 + -4k2

Combine like terms: 4k2 + -4k2 = 0
24k + -4k2 = 0

Factor out the Greatest Common Factor (GCF), '4k'.
4k(6 + -1k) = 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 + -1k)' equal to zero and attempt to solve:

Simplifying
6 + -1k = 0

Solving
6 + -1k = 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 + -1k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1k = 0 + -6
-1k = 0 + -6

Combine like terms: 0 + -6 = -6
-1k = -6

Divide each side by '-1'.
k = 6

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