m^2+23m+22=0

Solution for m^2+23m+22=0 equation:

Simplifying
m2 + 23m + 22 = 0

Reorder the terms:
22 + 23m + m2 = 0

Solving
22 + 23m + m2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor '(22 + m)' equal to zero and attempt to solve:

Simplifying
22 + m = 0

Solving
22 + m = 0

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

Add '-22' to each side of the equation.
22 + -22 + m = 0 + -22

Combine like terms: 22 + -22 = 0
0 + m = 0 + -22
m = 0 + -22

Combine like terms: 0 + -22 = -22
m = -22

Simplifying
m = -22
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 = {-22, -1}