5K^2-19K+12=0

Solution for 5K^2-19K+12=0 equation:

Simplifying
5K2 + -19K + 12 = 0

Reorder the terms:
12 + -19K + 5K2 = 0

Solving
12 + -19K + 5K2 = 0

Solving for variable 'K'.

Factor a trinomial.
(4 + -5K)(3 + -1K) = 0

Subproblem 1
Set the factor '(4 + -5K)' equal to zero and attempt to solve:

Simplifying
4 + -5K = 0

Solving
4 + -5K = 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 + -5K = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5K = 0 + -4
-5K = 0 + -4

Combine like terms: 0 + -4 = -4
-5K = -4

Divide each side by '-5'.
K = 0.8

Simplifying
K = 0.8
Subproblem 2
Set the factor '(3 + -1K)' equal to zero and attempt to solve:

Simplifying
3 + -1K = 0

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

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

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

Divide each side by '-1'.
K = 3

Simplifying
K = 3
Solution
K = {0.8, 3}