2y^4-2v^4y^4=

Solution for 2y^4-2v^4y^4= equation:

Simplifying
2y4 + -2v4y4 = 0

Reorder the terms:
-2v4y4 + 2y4 = 0

Solving
-2v4y4 + 2y4 = 0

Solving for variable 'v'.

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

Add '-2y4' to each side of the equation.
-2v4y4 + 2y4 + -2y4 = 0 + -2y4

Combine like terms: 2y4 + -2y4 = 0
-2v4y4 + 0 = 0 + -2y4
-2v4y4 = 0 + -2y4
Remove the zero:
-2v4y4 = -2y4

Divide each side by '-2y4'.
v4 = 1

Simplifying
v4 = 1

Reorder the terms:
-1 + v4 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + v4 = 0

Factor a difference between two squares.
(1 + v2)(-1 + v2) = 0

Factor a difference between two squares.
(1 + v2)((1 + v)(-1 + v)) = 0

Subproblem 1
Set the factor '(1 + v2)' equal to zero and attempt to solve:

Simplifying
1 + v2 = 0

Solving
1 + v2 = 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 + v2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + v2 = 0 + -1
v2 = 0 + -1

Combine like terms: 0 + -1 = -1
v2 = -1

Simplifying
v2 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
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 = {-1, 1}