-2m(m^3-mn^2)=

Solution for -2m(m^3-mn^2)= equation:

Simplifying
-2m(m3 + -1mn2) = 0

Reorder the terms:
-2m(-1mn2 + m3) = 0
(-1mn2 * -2m + m3 * -2m) = 0
(2m2n2 + -2m4) = 0

Solving
2m2n2 + -2m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m2'.
2m2(n2 + -1m2) = 0

Factor a difference between two squares.
2m2((n + m)(n + -1m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve:

Simplifying
m2 = 0

Solving
m2 = 0

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

Simplifying
m2 = 0

Take the square root of each side:
m = {0}
Subproblem 2
Set the factor '(n + m)' equal to zero and attempt to solve:

Simplifying
n + m = 0

Reorder the terms:
m + n = 0

Solving
m + n = 0

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

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

Combine like terms: n + -1n = 0
m + 0 = 0 + -1n
m = 0 + -1n
Remove the zero:
m = -1n

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

Simplifying
n + -1m = 0

Reorder the terms:
-1m + n = 0

Solving
-1m + n = 0

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

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

Combine like terms: n + -1n = 0
-1m + 0 = 0 + -1n
-1m = 0 + -1n
Remove the zero:
-1m = -1n

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

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