-6n^3-66n^2-60n=0

Solution for -6n^3-66n^2-60n=0 equation:

Simplifying
-6n3 + -66n2 + -60n = 0

Reorder the terms:
-60n + -66n2 + -6n3 = 0

Solving
-60n + -66n2 + -6n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-6n'.
-6n(10 + 11n + n2) = 0

Factor a trinomial.
-6n((10 + n)(1 + n)) = 0

Ignore the factor -6.
Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(10 + n)' equal to zero and attempt to solve:

Simplifying
10 + n = 0

Solving
10 + n = 0

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

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

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

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

Simplifying
n = -10
Subproblem 3
Set the factor '(1 + n)' equal to zero and attempt to solve:

Simplifying
1 + n = 0

Solving
1 + n = 0

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

Add '-1' to each side of the equation.
1 + -1 + n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + n = 0 + -1
n = 0 + -1

Combine like terms: 0 + -1 = -1
n = -1

Simplifying
n = -1
Solution
n = {0, -10, -1}