12k^2=8k

Solution for 12k^2=8k equation:

Simplifying
12k2 = 8k

Solving
12k2 = 8k

Solving for variable 'k'.

Reorder the terms:
-8k + 12k2 = 8k + -8k

Combine like terms: 8k + -8k = 0
-8k + 12k2 = 0

Factor out the Greatest Common Factor (GCF), '4k'.
4k(-2 + 3k) = 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 '(-2 + 3k)' equal to zero and attempt to solve:

Simplifying
-2 + 3k = 0

Solving
-2 + 3k = 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 + 3k = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3k = 0 + 2
3k = 0 + 2

Combine like terms: 0 + 2 = 2
3k = 2

Divide each side by '3'.
k = 0.6666666667

Simplifying
k = 0.6666666667
Solution
k = {0, 0.6666666667}