n^2+15n+56n=

Solution for n^2+15n+56n= equation:

Simplifying
n2 + 15n + 56n = 0

Reorder the terms:
15n + 56n + n2 = 0

Combine like terms: 15n + 56n = 71n
71n + n2 = 0

Solving
71n + n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(71 + 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 '(71 + n)' equal to zero and attempt to solve:

Simplifying
71 + n = 0

Solving
71 + n = 0

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

Add '-71' to each side of the equation.
71 + -71 + n = 0 + -71

Combine like terms: 71 + -71 = 0
0 + n = 0 + -71
n = 0 + -71

Combine like terms: 0 + -71 = -71
n = -71

Simplifying
n = -71
Solution
n = {0, -71}