2x^4-8=2584

Solution for 2x^4-8=2584 equation:

Simplifying
2x4 + -8 = 2584

Reorder the terms:
-8 + 2x4 = 2584

Solving
-8 + 2x4 = 2584

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x4 = 2584 + 8

Combine like terms: -8 + 8 = 0
0 + 2x4 = 2584 + 8
2x4 = 2584 + 8

Combine like terms: 2584 + 8 = 2592
2x4 = 2592

Divide each side by '2'.
x4 = 1296

Simplifying
x4 = 1296

Reorder the terms:
-1296 + x4 = 1296 + -1296

Combine like terms: 1296 + -1296 = 0
-1296 + x4 = 0

Factor a difference between two squares.
(36 + x2)(-36 + x2) = 0

Factor a difference between two squares.
(36 + x2)((6 + x)(-6 + x)) = 0

Subproblem 1
Set the factor '(36 + x2)' equal to zero and attempt to solve:

Simplifying
36 + x2 = 0

Solving
36 + x2 = 0

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

Add '-36' to each side of the equation.
36 + -36 + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + x2 = 0 + -36
x2 = 0 + -36

Combine like terms: 0 + -36 = -36
x2 = -36

Simplifying
x2 = -36

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 '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Subproblem 3
Set the factor '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
Solution
x = {-6, 6}