m^2+22m+121=64

Solution for m^2+22m+121=64 equation:

Simplifying
m2 + 22m + 121 = 64

Reorder the terms:
121 + 22m + m2 = 64

Solving
121 + 22m + m2 = 64

Solving for variable 'm'.

Reorder the terms:
121 + -64 + 22m + m2 = 64 + -64

Combine like terms: 121 + -64 = 57
57 + 22m + m2 = 64 + -64

Combine like terms: 64 + -64 = 0
57 + 22m + m2 = 0

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

Subproblem 1
Set the factor '(19 + m)' equal to zero and attempt to solve:

Simplifying
19 + m = 0

Solving
19 + m = 0

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

Add '-19' to each side of the equation.
19 + -19 + m = 0 + -19

Combine like terms: 19 + -19 = 0
0 + m = 0 + -19
m = 0 + -19

Combine like terms: 0 + -19 = -19
m = -19

Simplifying
m = -19
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 = {-19, -3}