-3m(-4m^2+m)=

Solution for -3m(-4m^2+m)= equation:

Simplifying
-3m(-4m2 + m) = 0

Reorder the terms:
-3m(m + -4m2) = 0
(m * -3m + -4m2 * -3m) = 0
(-3m2 + 12m3) = 0

Solving
-3m2 + 12m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m2'.
3m2(-1 + 4m) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve:

Simplifying
m2 = 0

Solving
m2 = 0

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

Simplifying
m2 = 0

Take the square root of each side:
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}