z^6-8z^3=0

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Solution for z^6-8z^3=0 equation:


Simplifying
z6 + -8z3 = 0

Reorder the terms:
-8z3 + z6 = 0

Solving
-8z3 + z6 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z3'.
z3(-8 + z3) = 0

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 '(-8 + z3)' equal to zero and attempt to solve: Simplifying -8 + z3 = 0 Solving -8 + z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + z3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + z3 = 0 + 8 z3 = 0 + 8 Combine like terms: 0 + 8 = 8 z3 = 8 Simplifying z3 = 8 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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