f(x^5-x^3)=0

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Solution for f(x^5-x^3)=0 equation:


Simplifying
f(x5 + -1x3) = 0

Reorder the terms:
f(-1x3 + x5) = 0
(-1x3 * f + x5 * f) = 0
(-1fx3 + fx5) = 0

Solving
-1fx3 + fx5 = 0

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'fx3'.
fx3(-1 + x2) = 0

Factor a difference between two squares.
fx3((1 + x)(-1 + x)) = 0

Subproblem 1

Set the factor 'fx3' equal to zero and attempt to solve: Simplifying fx3 = 0 Solving fx3 = 0 Move all terms containing f to the left, all other terms to the right. Simplifying fx3 = 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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing f to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -1x 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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