5n^2+55n=0

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

Simplifying
5n2 + 55n = 0

Reorder the terms:
55n + 5n2 = 0

Solving
55n + 5n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '5n'.
5n(11 + n) = 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 '(11 + n)' equal to zero and attempt to solve:

Simplifying
11 + n = 0

Solving
11 + n = 0

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

Add '-11' to each side of the equation.
11 + -11 + n = 0 + -11

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

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

Simplifying
n = -11
Solution
n = {0, -11}