3k^2=-12k-12

Solution for 3k^2=-12k-12 equation:

Simplifying
3k2 = -12k + -12

Reorder the terms:
3k2 = -12 + -12k

Solving
3k2 = -12 + -12k

Solving for variable 'k'.

Reorder the terms:
12 + 12k + 3k2 = -12 + -12k + 12 + 12k

Reorder the terms:
12 + 12k + 3k2 = -12 + 12 + -12k + 12k

Combine like terms: -12 + 12 = 0
12 + 12k + 3k2 = 0 + -12k + 12k
12 + 12k + 3k2 = -12k + 12k

Combine like terms: -12k + 12k = 0
12 + 12k + 3k2 = 0

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

Factor a trinomial.
3((2 + k)(2 + k)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(2 + k)' equal to zero and attempt to solve:

Simplifying
2 + k = 0

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

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

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

Simplifying
k = -2
Subproblem 2
Set the factor '(2 + k)' equal to zero and attempt to solve:

Simplifying
2 + k = 0

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

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

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

Simplifying
k = -2
Solution
k = {-2, -2}