m(3m+4)(2m-1)=

Solution for m(3m+4)(2m-1)= equation:

Simplifying
m(3m + 4)(2m + -1) = 0

Reorder the terms:
m(4 + 3m)(2m + -1) = 0

Reorder the terms:
m(4 + 3m)(-1 + 2m) = 0

Multiply (4 + 3m) * (-1 + 2m)
m(4(-1 + 2m) + 3m * (-1 + 2m)) = 0
m((-1 * 4 + 2m * 4) + 3m * (-1 + 2m)) = 0
m((-4 + 8m) + 3m * (-1 + 2m)) = 0
m(-4 + 8m + (-1 * 3m + 2m * 3m)) = 0
m(-4 + 8m + (-3m + 6m2)) = 0

Combine like terms: 8m + -3m = 5m
m(-4 + 5m + 6m2) = 0
(-4 * m + 5m * m + 6m2 * m) = 0
(-4m + 5m2 + 6m3) = 0

Solving
-4m + 5m2 + 6m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-4 + 5m + 6m2) = 0

Factor a trinomial.
m((-4 + -3m)(1 + -2m)) = 0

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 '(-4 + -3m)' equal to zero and attempt to solve:

Simplifying
-4 + -3m = 0

Solving
-4 + -3m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3m = 0 + 4
-3m = 0 + 4

Combine like terms: 0 + 4 = 4
-3m = 4

Divide each side by '-3'.
m = -1.333333333

Simplifying
m = -1.333333333
Subproblem 3
Set the factor '(1 + -2m)' equal to zero and attempt to solve:

Simplifying
1 + -2m = 0

Solving
1 + -2m = 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 + -2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2m = 0 + -1
-2m = 0 + -1

Combine like terms: 0 + -1 = -1
-2m = -1

Divide each side by '-2'.
m = 0.5

Simplifying
m = 0.5
Solution
m = {0, -1.333333333, 0.5}