x^7-4x=0

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Solution for x^7-4x=0 equation:


Simplifying
x7 + -4x = 0

Reorder the terms:
-4x + x7 = 0

Solving
-4x + x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + x6) = 0

Factor a difference between two squares.
x((2 + x3)(-2 + x3)) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(2 + x3)' equal to zero and attempt to solve: Simplifying 2 + x3 = 0 Solving 2 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x3 = 0 + -2 x3 = 0 + -2 Combine like terms: 0 + -2 = -2 x3 = -2 Simplifying x3 = -2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(-2 + x3)' equal to zero and attempt to solve: Simplifying -2 + x3 = 0 Solving -2 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x3 = 0 + 2 x3 = 0 + 2 Combine like terms: 0 + 2 = 2 x3 = 2 Simplifying x3 = 2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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