6n^2=(-96)-60n

Solution for 6n^2=(-96)-60n equation:

Simplifying
6n2 = (-96) + -60n
6n2 = -96 + -60n

Solving
6n2 = -96 + -60n

Solving for variable 'n'.

Reorder the terms:
96 + 60n + 6n2 = -96 + -60n + 96 + 60n

Reorder the terms:
96 + 60n + 6n2 = -96 + 96 + -60n + 60n

Combine like terms: -96 + 96 = 0
96 + 60n + 6n2 = 0 + -60n + 60n
96 + 60n + 6n2 = -60n + 60n

Combine like terms: -60n + 60n = 0
96 + 60n + 6n2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(16 + 10n + n2) = 0

Factor a trinomial.
6((8 + n)(2 + n)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(8 + n)' equal to zero and attempt to solve:

Simplifying
8 + n = 0

Solving
8 + n = 0

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

Add '-8' to each side of the equation.
8 + -8 + n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + n = 0 + -8
n = 0 + -8

Combine like terms: 0 + -8 = -8
n = -8

Simplifying
n = -8
Subproblem 2
Set the factor '(2 + n)' equal to zero and attempt to solve:

Simplifying
2 + n = 0

Solving
2 + n = 0

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

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

Combine like terms: 2 + -2 = 0
0 + n = 0 + -2
n = 0 + -2

Combine like terms: 0 + -2 = -2
n = -2

Simplifying
n = -2
Solution
n = {-8, -2}