m^2+16m+43=-5

Solution for m^2+16m+43=-5 equation:

Simplifying
m2 + 16m + 43 = -5

Reorder the terms:
43 + 16m + m2 = -5

Solving
43 + 16m + m2 = -5

Solving for variable 'm'.

Reorder the terms:
43 + 5 + 16m + m2 = -5 + 5

Combine like terms: 43 + 5 = 48
48 + 16m + m2 = -5 + 5

Combine like terms: -5 + 5 = 0
48 + 16m + m2 = 0

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

Subproblem 1
Set the factor '(12 + m)' equal to zero and attempt to solve:

Simplifying
12 + m = 0

Solving
12 + m = 0

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

Add '-12' to each side of the equation.
12 + -12 + m = 0 + -12

Combine like terms: 12 + -12 = 0
0 + m = 0 + -12
m = 0 + -12

Combine like terms: 0 + -12 = -12
m = -12

Simplifying
m = -12
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 = {-12, -4}