(4v^3-4v)-(2v-2v^3)=

Solution for (4v^3-4v)-(2v-2v^3)= equation:

Simplifying
(4v3 + -4v) + -1(2v + -2v3) = 0

Reorder the terms:
(-4v + 4v3) + -1(2v + -2v3) = 0

Remove parenthesis around (-4v + 4v3)
-4v + 4v3 + -1(2v + -2v3) = 0
-4v + 4v3 + (2v * -1 + -2v3 * -1) = 0
-4v + 4v3 + (-2v + 2v3) = 0

Reorder the terms:
-4v + -2v + 4v3 + 2v3 = 0

Combine like terms: -4v + -2v = -6v
-6v + 4v3 + 2v3 = 0

Combine like terms: 4v3 + 2v3 = 6v3
-6v + 6v3 = 0

Solving
-6v + 6v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '6v'.
6v(-1 + v2) = 0

Factor a difference between two squares.
6v((1 + v)(-1 + v)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0
Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve:

Simplifying
1 + v = 0

Solving
1 + v = 0

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

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

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

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

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

Simplifying
-1 + v = 0

Solving
-1 + v = 0

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

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

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

Combine like terms: 0 + 1 = 1
v = 1

Simplifying
v = 1
Solution
v = {0, -1, 1}