(8+m)(2+m)=

Solution for (8+m)(2+m)= equation:

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

Multiply (8 + m) * (2 + m)
(8(2 + m) + m(2 + m)) = 0
((2 * 8 + m * 8) + m(2 + m)) = 0
((16 + 8m) + m(2 + m)) = 0
(16 + 8m + (2 * m + m * m)) = 0
(16 + 8m + (2m + m2)) = 0

Combine like terms: 8m + 2m = 10m
(16 + 10m + m2) = 0

Solving
16 + 10m + m2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor '(8 + m)' equal to zero and attempt to solve:

Simplifying
8 + m = 0

Solving
8 + m = 0

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

Add '-8' to each side of the equation.
8 + -8 + m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + m = 0 + -8
m = 0 + -8

Combine like terms: 0 + -8 = -8
m = -8

Simplifying
m = -8
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 = {-8, -2}