7(2m+6)8m=

Solution for 7(2m+6)8m= equation:

Simplifying
7(2m + 6) * 8m = 0

Reorder the terms:
7(6 + 2m) * 8m = 0

Reorder the terms for easier multiplication:
7 * 8m(6 + 2m) = 0

Multiply 7 * 8
56m(6 + 2m) = 0
(6 * 56m + 2m * 56m) = 0
(336m + 112m2) = 0

Solving
336m + 112m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '112m'.
112m(3 + m) = 0

Ignore the factor 112.
Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 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 + m = 0 + -3

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

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

Simplifying
m = -3
Solution
m = {0, -3}