x^4=1000x

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Solution for x^4=1000x equation:


Simplifying
x4 = 1000x

Solving
x4 = 1000x

Solving for variable 'x'.

Reorder the terms:
-1000x + x4 = 1000x + -1000x

Combine like terms: 1000x + -1000x = 0
-1000x + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1000 + 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 '(-1000 + x3)' equal to zero and attempt to solve: Simplifying -1000 + x3 = 0 Solving -1000 + x3 = 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 + x3 = 0 + 1000 Combine like terms: -1000 + 1000 = 0 0 + x3 = 0 + 1000 x3 = 0 + 1000 Combine like terms: 0 + 1000 = 1000 x3 = 1000 Simplifying x3 = 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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