3n(5n+5)=0

Solution for 3n(5n+5)=0 equation:

Simplifying
3n(5n + 5) = 0

Reorder the terms:
3n(5 + 5n) = 0
(5 * 3n + 5n * 3n) = 0
(15n + 15n2) = 0

Solving
15n + 15n2 = 0

Solving for variable 'n'.

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

Ignore the factor 15.
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 + 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, -1}