0=-120k^2-232k-96

Solution for 0=-120k^2-232k-96 equation:

Simplifying
0 = -120k2 + -232k + -96

Reorder the terms:
0 = -96 + -232k + -120k2

Solving
0 = -96 + -232k + -120k2

Solving for variable 'k'.

Combine like terms: 0 + 96 = 96
96 + 232k + 120k2 = -96 + -232k + -120k2 + 96 + 232k + 120k2

Reorder the terms:
96 + 232k + 120k2 = -96 + 96 + -232k + 232k + -120k2 + 120k2

Combine like terms: -96 + 96 = 0
96 + 232k + 120k2 = 0 + -232k + 232k + -120k2 + 120k2
96 + 232k + 120k2 = -232k + 232k + -120k2 + 120k2

Combine like terms: -232k + 232k = 0
96 + 232k + 120k2 = 0 + -120k2 + 120k2
96 + 232k + 120k2 = -120k2 + 120k2

Combine like terms: -120k2 + 120k2 = 0
96 + 232k + 120k2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(12 + 29k + 15k2) = 0

Factor a trinomial.
8((4 + 3k)(3 + 5k)) = 0

Ignore the factor 8.
Subproblem 1
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
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 = {-1.333333333, -0.6}