2k(4k+6k^2)=

Solution for 2k(4k+6k^2)= equation:

Simplifying
2k(4k + 6k2) = 0
(4k * 2k + 6k2 * 2k) = 0
(8k2 + 12k3) = 0

Solving
8k2 + 12k3 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '4k2'.
4k2(2 + 3k) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'k2' equal to zero and attempt to solve:

Simplifying
k2 = 0

Solving
k2 = 0

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

Simplifying
k2 = 0

Take the square root of each side:
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}