x^3=x^999

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Solution for x^3=x^999 equation:


Simplifying
x3 = x999

Solving
x3 = x999

Solving for variable 'x'.

Combine like terms: x999 + -1x999 = 0
x3 + -1x999 = 0

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(1 + -1x996) = 0

Factor a difference between two squares.
x3((1 + x498)(1 + -1x498)) = 0

Factor a difference between two squares.
x3((1 + x498)((1 + x249)(1 + -1x249))) = 0

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 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 '(1 + x498)' equal to zero and attempt to solve: Simplifying 1 + x498 = 0 Solving 1 + x498 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x498 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x498 = 0 + -1 x498 = 0 + -1 Combine like terms: 0 + -1 = -1 x498 = -1 Simplifying x498 = -1 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 '(1 + x249)' equal to zero and attempt to solve: Simplifying 1 + x249 = 0 Solving 1 + x249 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x249 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x249 = 0 + -1 x249 = 0 + -1 Combine like terms: 0 + -1 = -1 x249 = -1 Simplifying x249 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 4

Set the factor '(1 + -1x249)' equal to zero and attempt to solve: Simplifying 1 + -1x249 = 0 Solving 1 + -1x249 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x249 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x249 = 0 + -1 -1x249 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x249 = -1 Divide each side by '-1'. x249 = 1 Simplifying x249 = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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