m^2+18m+56=0

Solution for m^2+18m+56=0 equation:

Simplifying
m2 + 18m + 56 = 0

Reorder the terms:
56 + 18m + m2 = 0

Solving
56 + 18m + m2 = 0

Solving for variable 'm'.

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

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

Simplifying
14 + m = 0

Solving
14 + m = 0

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

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

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

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

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

Simplifying
4 + m = 0

Solving
4 + m = 0

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

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

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

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

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