(m+2)(m+3)=

Solution for (m+2)(m+3)= equation:

Simplifying
(m + 2)(m + 3) = 0

Reorder the terms:
(2 + m)(m + 3) = 0

Reorder the terms:
(2 + m)(3 + m) = 0

Multiply (2 + m) * (3 + m)
(2(3 + m) + m(3 + m)) = 0
((3 * 2 + m * 2) + m(3 + m)) = 0
((6 + 2m) + m(3 + m)) = 0
(6 + 2m + (3 * m + m * m)) = 0
(6 + 2m + (3m + m2)) = 0

Combine like terms: 2m + 3m = 5m
(6 + 5m + m2) = 0

Solving
6 + 5m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3 + m)(2 + m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(2 + m)' equal to zero and attempt to solve:

Simplifying
2 + m = 0

Solving
2 + m = 0

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

Add '-2' to each side of the equation.
2 + -2 + m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + m = 0 + -2
m = 0 + -2

Combine like terms: 0 + -2 = -2
m = -2

Simplifying
m = -2
Solution
m = {-3, -2}