6(8m+3)m*7=

Solution for 6(8m+3)m*7= equation:

Simplifying
6(8m + 3) * m * 7 = 0

Reorder the terms:
6(3 + 8m) * m * 7 = 0

Reorder the terms for easier multiplication:
6 * 7m(3 + 8m) = 0

Multiply 6 * 7
42m(3 + 8m) = 0
(3 * 42m + 8m * 42m) = 0
(126m + 336m2) = 0

Solving
126m + 336m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '42m'.
42m(3 + 8m) = 0

Ignore the factor 42.
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 + 8m)' equal to zero and attempt to solve:

Simplifying
3 + 8m = 0

Solving
3 + 8m = 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 + 8m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8m = 0 + -3
8m = 0 + -3

Combine like terms: 0 + -3 = -3
8m = -3

Divide each side by '8'.
m = -0.375

Simplifying
m = -0.375
Solution
m = {0, -0.375}