7k^2-31k+12=0

Solution for 7k^2-31k+12=0 equation:

Simplifying
7k2 + -31k + 12 = 0

Reorder the terms:
12 + -31k + 7k2 = 0

Solving
12 + -31k + 7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(3 + -7k)(4 + -1k) = 0

Subproblem 1
Set the factor '(3 + -7k)' equal to zero and attempt to solve:

Simplifying
3 + -7k = 0

Solving
3 + -7k = 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 + -7k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7k = 0 + -3
-7k = 0 + -3

Combine like terms: 0 + -3 = -3
-7k = -3

Divide each side by '-7'.
k = 0.4285714286

Simplifying
k = 0.4285714286
Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve:

Simplifying
4 + -1k = 0

Solving
4 + -1k = 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 + -1k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1k = 0 + -4
-1k = 0 + -4

Combine like terms: 0 + -4 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4
Solution
k = {0.4285714286, 4}