m^2+14m+41=8

Solution for m^2+14m+41=8 equation:

Simplifying
m2 + 14m + 41 = 8

Reorder the terms:
41 + 14m + m2 = 8

Solving
41 + 14m + m2 = 8

Solving for variable 'm'.

Reorder the terms:
41 + -8 + 14m + m2 = 8 + -8

Combine like terms: 41 + -8 = 33
33 + 14m + m2 = 8 + -8

Combine like terms: 8 + -8 = 0
33 + 14m + m2 = 0

Factor a trinomial.
(11 + m)(3 + m) = 0

Subproblem 1
Set the factor '(11 + m)' equal to zero and attempt to solve:

Simplifying
11 + m = 0

Solving
11 + m = 0

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

Add '-11' to each side of the equation.
11 + -11 + m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + m = 0 + -11
m = 0 + -11

Combine like terms: 0 + -11 = -11
m = -11

Simplifying
m = -11
Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m = 0 + -3
m = 0 + -3

Combine like terms: 0 + -3 = -3
m = -3

Simplifying
m = -3
Solution
m = {-11, -3}