m^2+20m+19=

Solution for m^2+20m+19= equation:

Simplifying
m2 + 20m + 19 = 0

Reorder the terms:
19 + 20m + m2 = 0

Solving
19 + 20m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(19 + m)(1 + 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 '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

Solving
1 + m = 0

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

Add '-1' to each side of the equation.
1 + -1 + m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + m = 0 + -1
m = 0 + -1

Combine like terms: 0 + -1 = -1
m = -1

Simplifying
m = -1
Solution
m = {-19, -1}