55n^2+5n=0

Solution for 55n^2+5n=0 equation:

Simplifying
55n2 + 5n = 0

Reorder the terms:
5n + 55n2 = 0

Solving
5n + 55n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '5n'.
5n(1 + 11n) = 0

Ignore the factor 5.
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 + 11n)' equal to zero and attempt to solve:

Simplifying
1 + 11n = 0

Solving
1 + 11n = 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 + 11n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 11n = 0 + -1
11n = 0 + -1

Combine like terms: 0 + -1 = -1
11n = -1

Divide each side by '11'.
n = -0.09090909091

Simplifying
n = -0.09090909091
Solution
n = {0, -0.09090909091}