2m^3=32m

Solution for 2m^3=32m equation:

Simplifying
2m3 = 32m

Solving
2m3 = 32m

Solving for variable 'm'.

Reorder the terms:
-32m + 2m3 = 32m + -32m

Combine like terms: 32m + -32m = 0
-32m + 2m3 = 0

Factor out the Greatest Common Factor (GCF), '2m'.
2m(-16 + m2) = 0

Factor a difference between two squares.
2m((4 + m)(-4 + 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 '(-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
Solution
m = {0, -4, 4}