8x^5-64x^3=0

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Solution for 8x^5-64x^3=0 equation:


Simplifying
8x5 + -64x3 = 0

Reorder the terms:
-64x3 + 8x5 = 0

Solving
-64x3 + 8x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x3'.
8x3(-8 + x2) = 0

Ignore the factor 8.

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 '(-8 + x2)' equal to zero and attempt to solve: Simplifying -8 + x2 = 0 Solving -8 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x2 = 0 + 8 x2 = 0 + 8 Combine like terms: 0 + 8 = 8 x2 = 8 Simplifying x2 = 8 Take the square root of each side: x = {-2.828427125, 2.828427125}

Solution

x = {-2.828427125, 2.828427125}

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