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

Solution for (m+2)(m-6)=0 equation:

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

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

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

Multiply (2 + m) * (-6 + m)
(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)) = 0

Combine like terms: 2m + -6m = -4m
(-12 + -4m + m2) = 0

Solving
-12 + -4m + m2 = 0

Solving for variable 'm'.

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

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

Simplifying
-2 + -1m = 0

Solving
-2 + -1m = 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 + -1m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1m = 0 + 2
-1m = 0 + 2

Combine like terms: 0 + 2 = 2
-1m = 2

Divide each side by '-1'.
m = -2

Simplifying
m = -2
Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 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 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

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