66k^2+57k+12=

Solution for 66k^2+57k+12= equation:

Simplifying
66k2 + 57k + 12 = 0

Reorder the terms:
12 + 57k + 66k2 = 0

Solving
12 + 57k + 66k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + 19k + 22k2) = 0

Factor a trinomial.
3((1 + 2k)(4 + 11k)) = 0

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

Simplifying
1 + 2k = 0

Solving
1 + 2k = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2k = 0 + -1
2k = 0 + -1

Combine like terms: 0 + -1 = -1
2k = -1

Divide each side by '2'.
k = -0.5

Simplifying
k = -0.5
Subproblem 2
Set the factor '(4 + 11k)' equal to zero and attempt to solve:

Simplifying
4 + 11k = 0

Solving
4 + 11k = 0

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

Add '-4' to each side of the equation.
4 + -4 + 11k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 11k = 0 + -4
11k = 0 + -4

Combine like terms: 0 + -4 = -4
11k = -4

Divide each side by '11'.
k = -0.3636363636

Simplifying
k = -0.3636363636
Solution
k = {-0.5, -0.3636363636}