6k^2+96k+360=0

Solution for 6k^2+96k+360=0 equation:

Simplifying
6k2 + 96k + 360 = 0

Reorder the terms:
360 + 96k + 6k2 = 0

Solving
360 + 96k + 6k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '6'.
6(60 + 16k + k2) = 0

Factor a trinomial.
6((10 + k)(6 + k)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(10 + k)' equal to zero and attempt to solve:

Simplifying
10 + k = 0

Solving
10 + k = 0

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

Add '-10' to each side of the equation.
10 + -10 + k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + k = 0 + -10
k = 0 + -10

Combine like terms: 0 + -10 = -10
k = -10

Simplifying
k = -10
Subproblem 2
Set the factor '(6 + k)' equal to zero and attempt to solve:

Simplifying
6 + k = 0

Solving
6 + k = 0

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

Add '-6' to each side of the equation.
6 + -6 + k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + k = 0 + -6
k = 0 + -6

Combine like terms: 0 + -6 = -6
k = -6

Simplifying
k = -6
Solution
k = {-10, -6}