50m^3-2m=0

Solution for 50m^3-2m=0 equation:

Simplifying
50m3 + -2m = 0

Reorder the terms:
-2m + 50m3 = 0

Solving
-2m + 50m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(-1 + 25m2) = 0

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

Simplifying
1 + 5m = 0

Solving
1 + 5m = 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 + 5m = 0 + -1

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

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

Divide each side by '5'.
m = -0.2

Simplifying
m = -0.2
Subproblem 3
Set the factor '(-1 + 5m)' equal to zero and attempt to solve:

Simplifying
-1 + 5m = 0

Solving
-1 + 5m = 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 + 5m = 0 + 1

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

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

Divide each side by '5'.
m = 0.2

Simplifying
m = 0.2
Solution
m = {0, -0.2, 0.2}