=(m+2)(m+6)

Solution for =(m+2)(m+6) equation:

Simplifying
0 = (m + 2)(m + 6)

Reorder the terms:
0 = (2 + m)(m + 6)

Reorder the terms:
0 = (2 + m)(6 + m)

Multiply (2 + m) * (6 + m)
0 = (2(6 + m) + m(6 + m))
0 = ((6 * 2 + m * 2) + m(6 + m))
0 = ((12 + 2m) + m(6 + m))
0 = (12 + 2m + (6 * m + m * m))
0 = (12 + 2m + (6m + m2))

Combine like terms: 2m + 6m = 8m
0 = (12 + 8m + m2)

Solving
0 = 12 + 8m + m2

Solving for variable 'm'.

Combine like terms: 0 + -12 = -12
-12 + -8m + -1m2 = 12 + 8m + m2 + -12 + -8m + -1m2

Reorder the terms:
-12 + -8m + -1m2 = 12 + -12 + 8m + -8m + m2 + -1m2

Combine like terms: 12 + -12 = 0
-12 + -8m + -1m2 = 0 + 8m + -8m + m2 + -1m2
-12 + -8m + -1m2 = 8m + -8m + m2 + -1m2

Combine like terms: 8m + -8m = 0
-12 + -8m + -1m2 = 0 + m2 + -1m2
-12 + -8m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
-12 + -8m + -1m2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12 + 8m + m2) = 0

Factor a trinomial.
-1((6 + m)(2 + m)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + m)' equal to zero and attempt to solve:

Simplifying
6 + m = 0

Solving
6 + m = 0

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

Add '-6' to each side of the equation.
6 + -6 + m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + m = 0 + -6
m = 0 + -6

Combine like terms: 0 + -6 = -6
m = -6

Simplifying
m = -6
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 = {-6, -2}