x^8-1000x^2=0

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Solution for x^8-1000x^2=0 equation:


Simplifying
x8 + -1000x2 = 0

Reorder the terms:
-1000x2 + x8 = 0

Solving
-1000x2 + x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1000 + x6) = 0

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-1000 + x6)' equal to zero and attempt to solve: Simplifying -1000 + x6 = 0 Solving -1000 + x6 = 0 Move all terms containing x to the left, all other terms to the right. Add '1000' to each side of the equation. -1000 + 1000 + x6 = 0 + 1000 Combine like terms: -1000 + 1000 = 0 0 + x6 = 0 + 1000 x6 = 0 + 1000 Combine like terms: 0 + 1000 = 1000 x6 = 1000 Simplifying x6 = 1000 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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