32k^2-24k=0

Solution for 32k^2-24k=0 equation:

Simplifying
32k2 + -24k = 0

Reorder the terms:
-24k + 32k2 = 0

Solving
-24k + 32k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '8k'.
8k(-3 + 4k) = 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 + 4k)' equal to zero and attempt to solve:

Simplifying
-3 + 4k = 0

Solving
-3 + 4k = 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 + 4k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4k = 0 + 3
4k = 0 + 3

Combine like terms: 0 + 3 = 3
4k = 3

Divide each side by '4'.
k = 0.75

Simplifying
k = 0.75
Solution
k = {0, 0.75}