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

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

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

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

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

Multiply (1 + m) * (4 + m)
2m(1(4 + m) + m(4 + m)) = 0
2m((4 * 1 + m * 1) + m(4 + m)) = 0
2m((4 + 1m) + m(4 + m)) = 0
2m(4 + 1m + (4 * m + m * m)) = 0
2m(4 + 1m + (4m + m2)) = 0

Combine like terms: 1m + 4m = 5m
2m(4 + 5m + m2) = 0
(4 * 2m + 5m * 2m + m2 * 2m) = 0
(8m + 10m2 + 2m3) = 0

Solving
8m + 10m2 + 2m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(4 + 5m + m2) = 0

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

Ignore the factor 2.
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 + m)' equal to zero and attempt to solve:

Simplifying
4 + m = 0

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

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

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

Simplifying
m = -4
Subproblem 3
Set the factor '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

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

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

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

Simplifying
m = -1
Solution
m = {0, -4, -1}