(m-6)(m+8)=0

Solution for (m-6)(m+8)=0 equation:

Simplifying
(m + -6)(m + 8) = 0

Reorder the terms:
(-6 + m)(m + 8) = 0

Reorder the terms:
(-6 + m)(8 + m) = 0

Multiply (-6 + m) * (8 + m)
(-6(8 + m) + m(8 + m)) = 0
((8 * -6 + m * -6) + m(8 + m)) = 0
((-48 + -6m) + m(8 + m)) = 0
(-48 + -6m + (8 * m + m * m)) = 0
(-48 + -6m + (8m + m2)) = 0

Combine like terms: -6m + 8m = 2m
(-48 + 2m + m2) = 0

Solving
-48 + 2m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-8 + -1m)(6 + -1m) = 0

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

Simplifying
-8 + -1m = 0

Solving
-8 + -1m = 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 + -1m = 0 + 8

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

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

Divide each side by '-1'.
m = -8

Simplifying
m = -8
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 = {-8, 6}