m^2+19m+18=0

Solution for m^2+19m+18=0 equation:

Simplifying
m2 + 19m + 18 = 0

Reorder the terms:
18 + 19m + m2 = 0

Solving
18 + 19m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(18 + m)(1 + m) = 0

Subproblem 1
Set the factor '(18 + m)' equal to zero and attempt to solve:

Simplifying
18 + m = 0

Solving
18 + m = 0

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

Add '-18' to each side of the equation.
18 + -18 + m = 0 + -18

Combine like terms: 18 + -18 = 0
0 + m = 0 + -18
m = 0 + -18

Combine like terms: 0 + -18 = -18
m = -18

Simplifying
m = -18
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 = {-18, -1}