3k^2-8k=0

Solution for 3k^2-8k=0 equation:

Simplifying
3k2 + -8k = 0

Reorder the terms:
-8k + 3k2 = 0

Solving
-8k + 3k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-8 + 3k) = 0

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 '(-8 + 3k)' equal to zero and attempt to solve:

Simplifying
-8 + 3k = 0

Solving
-8 + 3k = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3k = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3k = 0 + 8
3k = 0 + 8

Combine like terms: 0 + 8 = 8
3k = 8

Divide each side by '3'.
k = 2.666666667

Simplifying
k = 2.666666667
Solution
k = {0, 2.666666667}