3K^2+37K+12=0

Solution for 3K^2+37K+12=0 equation:

Simplifying
3K2 + 37K + 12 = 0

Reorder the terms:
12 + 37K + 3K2 = 0

Solving
12 + 37K + 3K2 = 0

Solving for variable 'K'.

Factor a trinomial.
(12 + K)(1 + 3K) = 0

Subproblem 1
Set the factor '(12 + K)' equal to zero and attempt to solve:

Simplifying
12 + K = 0

Solving
12 + K = 0

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

Add '-12' to each side of the equation.
12 + -12 + K = 0 + -12

Combine like terms: 12 + -12 = 0
0 + K = 0 + -12
K = 0 + -12

Combine like terms: 0 + -12 = -12
K = -12

Simplifying
K = -12
Subproblem 2
Set the factor '(1 + 3K)' equal to zero and attempt to solve:

Simplifying
1 + 3K = 0

Solving
1 + 3K = 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 + 3K = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3K = 0 + -1
3K = 0 + -1

Combine like terms: 0 + -1 = -1
3K = -1

Divide each side by '3'.
K = -0.3333333333

Simplifying
K = -0.3333333333
Solution
K = {-12, -0.3333333333}