4k^2+12k=0

Solution for 4k^2+12k=0 equation:

Simplifying
4k2 + 12k = 0

Reorder the terms:
12k + 4k2 = 0

Solving
12k + 4k2 = 0

Solving for variable 'k'.

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

Simplifying
3 + k = 0

Solving
3 + k = 0

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

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

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

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

Simplifying
k = -3
Solution
k = {0, -3}