4Z^5-8Z^3=0

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Solution for 4Z^5-8Z^3=0 equation:


Simplifying
4Z5 + -8Z3 = 0

Reorder the terms:
-8Z3 + 4Z5 = 0

Solving
-8Z3 + 4Z5 = 0

Solving for variable 'Z'.

Factor out the Greatest Common Factor (GCF), '4Z3'.
4Z3(-2 + Z2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'Z3' equal to zero and attempt to solve: Simplifying Z3 = 0 Solving Z3 = 0 Move all terms containing Z to the left, all other terms to the right. Simplifying Z3 = 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 + Z2)' equal to zero and attempt to solve: Simplifying -2 + Z2 = 0 Solving -2 + Z2 = 0 Move all terms containing Z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + Z2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + Z2 = 0 + 2 Z2 = 0 + 2 Combine like terms: 0 + 2 = 2 Z2 = 2 Simplifying Z2 = 2 Take the square root of each side: Z = {-1.414213562, 1.414213562}

Solution

Z = {-1.414213562, 1.414213562}

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