2m(m+5)(m-1)=0

Solution for 2m(m+5)(m-1)=0 equation:

Simplifying
2m(m + 5)(m + -1) = 0

Reorder the terms:
2m(5 + m)(m + -1) = 0

Reorder the terms:
2m(5 + m)(-1 + m) = 0

Multiply (5 + m) * (-1 + m)
2m(5(-1 + m) + m(-1 + m)) = 0
2m((-1 * 5 + m * 5) + m(-1 + m)) = 0
2m((-5 + 5m) + m(-1 + m)) = 0
2m(-5 + 5m + (-1 * m + m * m)) = 0
2m(-5 + 5m + (-1m + m2)) = 0

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

Solving
-10m + 8m2 + 2m3 = 0

Solving for variable 'm'.

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

Factor a trinomial.
2m((-5 + -1m)(1 + -1m)) = 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 '(-5 + -1m)' equal to zero and attempt to solve:

Simplifying
-5 + -1m = 0

Solving
-5 + -1m = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1m = 0 + 5
-1m = 0 + 5

Combine like terms: 0 + 5 = 5
-1m = 5

Divide each side by '-1'.
m = -5

Simplifying
m = -5
Subproblem 3
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

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

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

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

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {0, -5, 1}