0=-2n^2-5n

Solution for 0=-2n^2-5n equation:

Simplifying
0 = -2n2 + -5n

Reorder the terms:
0 = -5n + -2n2

Solving
0 = -5n + -2n2

Solving for variable 'n'.
Remove the zero:
5n + 2n2 = -5n + -2n2 + 5n + 2n2

Reorder the terms:
5n + 2n2 = -5n + 5n + -2n2 + 2n2

Combine like terms: -5n + 5n = 0
5n + 2n2 = 0 + -2n2 + 2n2
5n + 2n2 = -2n2 + 2n2

Combine like terms: -2n2 + 2n2 = 0
5n + 2n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(5 + 2n) = 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 '(5 + 2n)' equal to zero and attempt to solve:

Simplifying
5 + 2n = 0

Solving
5 + 2n = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2n = 0 + -5
2n = 0 + -5

Combine like terms: 0 + -5 = -5
2n = -5

Divide each side by '2'.
n = -2.5

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