4x^9-400x=0

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Solution for 4x^9-400x=0 equation:


Simplifying
4x9 + -400x = 0

Reorder the terms:
-400x + 4x9 = 0

Solving
-400x + 4x9 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-100 + x8) = 0

Factor a difference between two squares.
4x((10 + x4)(-10 + x4)) = 0

Ignore the factor 4.

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 '(10 + x4)' equal to zero and attempt to solve: Simplifying 10 + x4 = 0 Solving 10 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x4 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x4 = 0 + -10 x4 = 0 + -10 Combine like terms: 0 + -10 = -10 x4 = -10 Simplifying x4 = -10 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 '(-10 + x4)' equal to zero and attempt to solve: Simplifying -10 + x4 = 0 Solving -10 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x4 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x4 = 0 + 10 x4 = 0 + 10 Combine like terms: 0 + 10 = 10 x4 = 10 Simplifying x4 = 10 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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