(m+6)9+(2m-8)9m=

Solution for (m+6)9+(2m-8)9m= equation:

Simplifying
(m + 6) * 9 + (2m + -8) * 9m = 0

Reorder the terms:
(6 + m) * 9 + (2m + -8) * 9m = 0

Reorder the terms for easier multiplication:
9(6 + m) + (2m + -8) * 9m = 0
(6 * 9 + m * 9) + (2m + -8) * 9m = 0
(54 + 9m) + (2m + -8) * 9m = 0

Reorder the terms:
54 + 9m + (-8 + 2m) * 9m = 0

Reorder the terms for easier multiplication:
54 + 9m + 9m(-8 + 2m) = 0
54 + 9m + (-8 * 9m + 2m * 9m) = 0
54 + 9m + (-72m + 18m2) = 0

Combine like terms: 9m + -72m = -63m
54 + -63m + 18m2 = 0

Solving
54 + -63m + 18m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '9'.
9(6 + -7m + 2m2) = 0

Factor a trinomial.
9((3 + -2m)(2 + -1m)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

Solving
3 + -2m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = 0 + -3
-2m = 0 + -3

Combine like terms: 0 + -3 = -3
-2m = -3

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Subproblem 2
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
Solution
m = {1.5, 2}