5x^4-1280=0

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Solution for 5x^4-1280=0 equation:


Simplifying
5x4 + -1280 = 0

Reorder the terms:
-1280 + 5x4 = 0

Solving
-1280 + 5x4 = 0

Solving for variable 'x'.

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

Add '1280' to each side of the equation.
-1280 + 1280 + 5x4 = 0 + 1280

Combine like terms: -1280 + 1280 = 0
0 + 5x4 = 0 + 1280
5x4 = 0 + 1280

Combine like terms: 0 + 1280 = 1280
5x4 = 1280

Divide each side by '5'.
x4 = 256

Simplifying
x4 = 256

Reorder the terms:
-256 + x4 = 256 + -256

Combine like terms: 256 + -256 = 0
-256 + x4 = 0

Factor a difference between two squares.
(16 + x2)(-16 + x2) = 0

Factor a difference between two squares.
(16 + x2)((4 + x)(-4 + x)) = 0

Subproblem 1

Set the factor '(16 + x2)' equal to zero and attempt to solve: Simplifying 16 + x2 = 0 Solving 16 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x2 = 0 + -16 x2 = 0 + -16 Combine like terms: 0 + -16 = -16 x2 = -16 Simplifying x2 = -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 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Subproblem 3

Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4

Solution

x = {-4, 4}

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