15k^2-9k-20k+12=0

Solution for 15k^2-9k-20k+12=0 equation:

Simplifying
15k2 + -9k + -20k + 12 = 0

Reorder the terms:
12 + -9k + -20k + 15k2 = 0

Combine like terms: -9k + -20k = -29k
12 + -29k + 15k2 = 0

Solving
12 + -29k + 15k2 = 0

Solving for variable 'k'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -3k)' equal to zero and attempt to solve:

Simplifying
4 + -3k = 0

Solving
4 + -3k = 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 + -3k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3k = 0 + -4
-3k = 0 + -4

Combine like terms: 0 + -4 = -4
-3k = -4

Divide each side by '-3'.
k = 1.333333333

Simplifying
k = 1.333333333
Solution
k = {0.6, 1.333333333}