4v^4-1024=0

Solution for 4v^4-1024=0 equation:

Simplifying
4v4 + -1024 = 0

Reorder the terms:
-1024 + 4v4 = 0

Solving
-1024 + 4v4 = 0

Solving for variable 'v'.

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

Add '1024' to each side of the equation.
-1024 + 1024 + 4v4 = 0 + 1024

Combine like terms: -1024 + 1024 = 0
0 + 4v4 = 0 + 1024
4v4 = 0 + 1024

Combine like terms: 0 + 1024 = 1024
4v4 = 1024

Divide each side by '4'.
v4 = 256

Simplifying
v4 = 256

Reorder the terms:
-256 + v4 = 256 + -256

Combine like terms: 256 + -256 = 0
-256 + v4 = 0

Factor a difference between two squares.
(16 + v2)(-16 + v2) = 0

Factor a difference between two squares.
(16 + v2)((4 + v)(-4 + v)) = 0

Subproblem 1
Set the factor '(16 + v2)' equal to zero and attempt to solve:

Simplifying
16 + v2 = 0

Solving
16 + v2 = 0

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

Add '-16' to each side of the equation.
16 + -16 + v2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + v2 = 0 + -16
v2 = 0 + -16

Combine like terms: 0 + -16 = -16
v2 = -16

Simplifying
v2 = -16

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 '(4 + v)' equal to zero and attempt to solve:

Simplifying
4 + v = 0

Solving
4 + v = 0

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

Add '-4' to each side of the equation.
4 + -4 + v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + v = 0 + -4
v = 0 + -4

Combine like terms: 0 + -4 = -4
v = -4

Simplifying
v = -4
Subproblem 3
Set the factor '(-4 + v)' equal to zero and attempt to solve:

Simplifying
-4 + v = 0

Solving
-4 + v = 0

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

Add '4' to each side of the equation.
-4 + 4 + v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + v = 0 + 4
v = 0 + 4

Combine like terms: 0 + 4 = 4
v = 4

Simplifying
v = 4
Solution
v = {-4, 4}