6k=15k^2

Solution for 6k=15k^2 equation:

Simplifying
6k = 15k2

Solving
6k = 15k2

Solving for variable 'k'.

Combine like terms: 15k2 + -15k2 = 0
6k + -15k2 = 0

Factor out the Greatest Common Factor (GCF), '3k'.
3k(2 + -5k) = 0

Ignore the factor 3.
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 + -5k)' equal to zero and attempt to solve:

Simplifying
2 + -5k = 0

Solving
2 + -5k = 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 + -5k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5k = 0 + -2
-5k = 0 + -2

Combine like terms: 0 + -2 = -2
-5k = -2

Divide each side by '-5'.
k = 0.4

Simplifying
k = 0.4
Solution
k = {0, 0.4}