5k^2+12=19k

Solution for 5k^2+12=19k equation:

Simplifying
5k2 + 12 = 19k

Reorder the terms:
12 + 5k2 = 19k

Solving
12 + 5k2 = 19k

Solving for variable 'k'.

Reorder the terms:
12 + -19k + 5k2 = 19k + -19k

Combine like terms: 19k + -19k = 0
12 + -19k + 5k2 = 0

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}