5x^5-5x^3=5x^3

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Solution for 5x^5-5x^3=5x^3 equation:


Simplifying
5x5 + -5x3 = 5x3

Reorder the terms:
-5x3 + 5x5 = 5x3

Solving
-5x3 + 5x5 = 5x3

Solving for variable 'x'.

Reorder the terms:
-5x3 + -5x3 + 5x5 = 5x3 + -5x3

Combine like terms: -5x3 + -5x3 = -10x3
-10x3 + 5x5 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-10x3 + 5x5 = 0

Factor out the Greatest Common Factor (GCF), '5x3'.
5x3(-2 + x2) = 0

Ignore the factor 5.

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 '(-2 + x2)' equal to zero and attempt to solve: Simplifying -2 + x2 = 0 Solving -2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x2 = 0 + 2 x2 = 0 + 2 Combine like terms: 0 + 2 = 2 x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}

Solution

x = {-1.414213562, 1.414213562}

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