(4m+1)(3m)=

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

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

Reorder the terms:
(1 + 4m)(3m) = 0

Remove parenthesis around (3m)
(1 + 4m) * 3m = 0

Reorder the terms for easier multiplication:
3m(1 + 4m) = 0
(1 * 3m + 4m * 3m) = 0
(3m + 12m2) = 0

Solving
3m + 12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(1 + 4m) = 0

Ignore the factor 3.
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 + 4m)' equal to zero and attempt to solve:

Simplifying
1 + 4m = 0

Solving
1 + 4m = 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 + 4m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4m = 0 + -1
4m = 0 + -1

Combine like terms: 0 + -1 = -1
4m = -1

Divide each side by '4'.
m = -0.25

Simplifying
m = -0.25
Solution
m = {0, -0.25}