n^2+2.5n=0

Solution for n^2+2.5n=0 equation:

Simplifying
n2 + 2.5n = 0

Reorder the terms:
2.5n + n2 = 0

Solving
2.5n + n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(2.5 + 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 '(2.5 + n)' equal to zero and attempt to solve:

Simplifying
2.5 + n = 0

Solving
2.5 + n = 0

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + n = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + n = 0 + -2.5
n = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
n = -2.5

Simplifying
n = -2.5
Solution
n = {0, -2.5}