-3n(-5n-2)-9n=

Solution for -3n(-5n-2)-9n= equation:

Simplifying
-3n(-5n + -2) + -9n = 0

Reorder the terms:
-3n(-2 + -5n) + -9n = 0
(-2 * -3n + -5n * -3n) + -9n = 0
(6n + 15n2) + -9n = 0

Reorder the terms:
6n + -9n + 15n2 = 0

Combine like terms: 6n + -9n = -3n
-3n + 15n2 = 0

Solving
-3n + 15n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n'.
3n(-1 + 5n) = 0

Ignore the factor 3.
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 '(-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, 0.2}