(m-6)(m+4)=0

Solution for (m-6)(m+4)=0 equation:

Simplifying
(m + -6)(m + 4) = 0

Reorder the terms:
(-6 + m)(m + 4) = 0

Reorder the terms:
(-6 + m)(4 + m) = 0

Multiply (-6 + m) * (4 + m)
(-6(4 + m) + m(4 + m)) = 0
((4 * -6 + m * -6) + m(4 + m)) = 0
((-24 + -6m) + m(4 + m)) = 0
(-24 + -6m + (4 * m + m * m)) = 0
(-24 + -6m + (4m + m2)) = 0

Combine like terms: -6m + 4m = -2m
(-24 + -2m + m2) = 0

Solving
-24 + -2m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-4 + -1m)(6 + -1m) = 0

Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve:

Simplifying
-4 + -1m = 0

Solving
-4 + -1m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1m = 0 + 4
-1m = 0 + 4

Combine like terms: 0 + 4 = 4
-1m = 4

Divide each side by '-1'.
m = -4

Simplifying
m = -4
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 = {-4, 6}