4(1+6m)3m=0

Solution for 4(1+6m)3m=0 equation:

Simplifying
4(1 + 6m) * 3m = 0

Reorder the terms for easier multiplication:
4 * 3m(1 + 6m) = 0

Multiply 4 * 3
12m(1 + 6m) = 0
(1 * 12m + 6m * 12m) = 0
(12m + 72m2) = 0

Solving
12m + 72m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '12m'.
12m(1 + 6m) = 0

Ignore the factor 12.
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 '(1 + 6m)' equal to zero and attempt to solve:

Simplifying
1 + 6m = 0

Solving
1 + 6m = 0

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

Add '-1' to each side of the equation.
1 + -1 + 6m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6m = 0 + -1
6m = 0 + -1

Combine like terms: 0 + -1 = -1
6m = -1

Divide each side by '6'.
m = -0.1666666667

Simplifying
m = -0.1666666667
Solution
m = {0, -0.1666666667}