=15k^2-19k+6

Solution for =15k^2-19k+6 equation:

Simplifying
0 = 15k2 + -19k + 6

Reorder the terms:
0 = 6 + -19k + 15k2

Solving
0 = 6 + -19k + 15k2

Solving for variable 'k'.

Combine like terms: 0 + -6 = -6
-6 + 19k + -15k2 = 6 + -19k + 15k2 + -6 + 19k + -15k2

Reorder the terms:
-6 + 19k + -15k2 = 6 + -6 + -19k + 19k + 15k2 + -15k2

Combine like terms: 6 + -6 = 0
-6 + 19k + -15k2 = 0 + -19k + 19k + 15k2 + -15k2
-6 + 19k + -15k2 = -19k + 19k + 15k2 + -15k2

Combine like terms: -19k + 19k = 0
-6 + 19k + -15k2 = 0 + 15k2 + -15k2
-6 + 19k + -15k2 = 15k2 + -15k2

Combine like terms: 15k2 + -15k2 = 0
-6 + 19k + -15k2 = 0

Factor a trinomial.
(-2 + 3k)(3 + -5k) = 0

Subproblem 1
Set the factor '(-2 + 3k)' equal to zero and attempt to solve:

Simplifying
-2 + 3k = 0

Solving
-2 + 3k = 0

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

Add '2' to each side of the equation.
-2 + 2 + 3k = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3k = 0 + 2
3k = 0 + 2

Combine like terms: 0 + 2 = 2
3k = 2

Divide each side by '3'.
k = 0.6666666667

Simplifying
k = 0.6666666667
Subproblem 2
Set the factor '(3 + -5k)' equal to zero and attempt to solve:

Simplifying
3 + -5k = 0

Solving
3 + -5k = 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 + -5k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5k = 0 + -3
-5k = 0 + -3

Combine like terms: 0 + -3 = -3
-5k = -3

Divide each side by '-5'.
k = 0.6

Simplifying
k = 0.6
Solution
k = {0.6666666667, 0.6}