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.
(1 + -3k)(12 + -1k) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(12 + -1k)' equal to zero and attempt to solve:

Simplifying
12 + -1k = 0

Solving
12 + -1k = 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 + -1k = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1k = 0 + -12
-1k = 0 + -12

Combine like terms: 0 + -12 = -12
-1k = -12

Divide each side by '-1'.
k = 12

Simplifying
k = 12
Solution
k = {0.3333333333, 12}