4x^5-10x^3=0

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Solution for 4x^5-10x^3=0 equation:


Simplifying
4x5 + -10x3 = 0

Reorder the terms:
-10x3 + 4x5 = 0

Solving
-10x3 + 4x5 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

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 '(-5 + 2x2)' equal to zero and attempt to solve: Simplifying -5 + 2x2 = 0 Solving -5 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x2 = 0 + 5 2x2 = 0 + 5 Combine like terms: 0 + 5 = 5 2x2 = 5 Divide each side by '2'. x2 = 2.5 Simplifying x2 = 2.5 Take the square root of each side: x = {-1.58113883, 1.58113883}

Solution

x = {-1.58113883, 1.58113883}

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