2n^2+15n=0

Solution for 2n^2+15n=0 equation:

Simplifying
2n2 + 15n = 0

Reorder the terms:
15n + 2n2 = 0

Solving
15n + 2n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(15 + 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 '(15 + 2n)' equal to zero and attempt to solve:

Simplifying
15 + 2n = 0

Solving
15 + 2n = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2n = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2n = 0 + -15
2n = 0 + -15

Combine like terms: 0 + -15 = -15
2n = -15

Divide each side by '2'.
n = -7.5

Simplifying
n = -7.5
Solution
n = {0, -7.5}