n^2+20n=0

Solution for n^2+20n=0 equation:

Simplifying
n2 + 20n = 0

Reorder the terms:
20n + n2 = 0

Solving
20n + n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(20 + n) = 0

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 '(20 + n)' equal to zero and attempt to solve:

Simplifying
20 + n = 0

Solving
20 + n = 0

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

Add '-20' to each side of the equation.
20 + -20 + n = 0 + -20

Combine like terms: 20 + -20 = 0
0 + n = 0 + -20
n = 0 + -20

Combine like terms: 0 + -20 = -20
n = -20

Simplifying
n = -20
Solution
n = {0, -20}