n*n+18n+56=0

Solution for n*n+18n+56=0 equation:

Simplifying
n * n + 18n + 56 = 0

Multiply n * n
n2 + 18n + 56 = 0

Reorder the terms:
56 + 18n + n2 = 0

Solving
56 + 18n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(14 + n)(4 + n) = 0

Subproblem 1
Set the factor '(14 + n)' equal to zero and attempt to solve:

Simplifying
14 + n = 0

Solving
14 + n = 0

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

Add '-14' to each side of the equation.
14 + -14 + n = 0 + -14

Combine like terms: 14 + -14 = 0
0 + n = 0 + -14
n = 0 + -14

Combine like terms: 0 + -14 = -14
n = -14

Simplifying
n = -14
Subproblem 2
Set the factor '(4 + n)' equal to zero and attempt to solve:

Simplifying
4 + n = 0

Solving
4 + n = 0

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

Add '-4' to each side of the equation.
4 + -4 + n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + n = 0 + -4
n = 0 + -4

Combine like terms: 0 + -4 = -4
n = -4

Simplifying
n = -4
Solution
n = {-14, -4}