-30n^2-16n-2=0

Solution for -30n^2-16n-2=0 equation:

Simplifying
-30n2 + -16n + -2 = 0

Reorder the terms:
-2 + -16n + -30n2 = 0

Solving
-2 + -16n + -30n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1 + 8n + 15n2) = 0

Factor a trinomial.
-2((1 + 3n)(1 + 5n)) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(1 + 3n)' equal to zero and attempt to solve:

Simplifying
1 + 3n = 0

Solving
1 + 3n = 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 + 3n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3n = 0 + -1
3n = 0 + -1

Combine like terms: 0 + -1 = -1
3n = -1

Divide each side by '3'.
n = -0.3333333333

Simplifying
n = -0.3333333333
Subproblem 2
Set the factor '(1 + 5n)' equal to zero and attempt to solve:

Simplifying
1 + 5n = 0

Solving
1 + 5n = 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 + 5n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5n = 0 + -1
5n = 0 + -1

Combine like terms: 0 + -1 = -1
5n = -1

Divide each side by '5'.
n = -0.2

Simplifying
n = -0.2
Solution
n = {-0.3333333333, -0.2}