6[k(5k+2)]=0

Solution for 6[k(5k+2)]=0 equation:

Simplifying
6[k(5k + 2)] = 0

Reorder the terms:
6[k(2 + 5k)] = 0
6[(2 * k + 5k * k)] = 0
6[(2k + 5k2)] = 0
[2k * 6 + 5k2 * 6] = 0
[12k + 30k2] = 0

Solving
12k + 30k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '6k'.
6k(2 + 5k) = 0

Ignore the factor 6.
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}