12k^2-k-20=0

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

Simplifying
12k2 + -1k + -20 = 0

Reorder the terms:
-20 + -1k + 12k2 = 0

Solving
-20 + -1k + 12k2 = 0

Solving for variable 'k'.

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

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

Simplifying
-5 + -4k = 0

Solving
-5 + -4k = 0

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

Add '5' to each side of the equation.
-5 + 5 + -4k = 0 + 5

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

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

Divide each side by '-4'.
k = -1.25

Simplifying
k = -1.25
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 = {-1.25, 1.333333333}