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

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

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

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

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

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

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

Solving
-48 + -2m + m2 = 0

Solving for variable 'm'.

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

Subproblem 1
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
Subproblem 2
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
Solution
m = {-6, 8}