(m+7)(m+2)=

Solution for (m+7)(m+2)= equation:

Simplifying
(m + 7)(m + 2) = 0

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

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

Multiply (7 + m) * (2 + m)
(7(2 + m) + m(2 + m)) = 0
((2 * 7 + m * 7) + m(2 + m)) = 0
((14 + 7m) + m(2 + m)) = 0
(14 + 7m + (2 * m + m * m)) = 0
(14 + 7m + (2m + m2)) = 0

Combine like terms: 7m + 2m = 9m
(14 + 9m + m2) = 0

Solving
14 + 9m + m2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor '(7 + m)' equal to zero and attempt to solve:

Simplifying
7 + m = 0

Solving
7 + m = 0

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

Add '-7' to each side of the equation.
7 + -7 + m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + m = 0 + -7
m = 0 + -7

Combine like terms: 0 + -7 = -7
m = -7

Simplifying
m = -7
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 = {-7, -2}