Z^5+iZ=0

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Solution for Z^5+iZ=0 equation:


Simplifying
Z5 + iZ = 0

Solving
Z5 + iZ = 0

Solving for variable 'Z'.

Factor out the Greatest Common Factor (GCF), 'Z'.
Z(Z4 + i) = 0

Subproblem 1

Set the factor 'Z' equal to zero and attempt to solve: Simplifying Z = 0 Solving Z = 0 Move all terms containing Z to the left, all other terms to the right. Simplifying Z = 0

Subproblem 2

Set the factor '(Z4 + i)' equal to zero and attempt to solve: Simplifying Z4 + i = 0 Solving Z4 + i = 0 Move all terms containing Z to the left, all other terms to the right. Add '-1i' to each side of the equation. Z4 + i + -1i = 0 + -1i Combine like terms: i + -1i = 0 Z4 + 0 = 0 + -1i Z4 = 0 + -1i Remove the zero: Z4 = -1i Simplifying Z4 = -1i The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

Z = {0}

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