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Simplifying z4 = 27iz Solving z4 = 27iz Solving for variable 'z'. Reorder the terms: -27iz + z4 = 27iz + -27iz Combine like terms: 27iz + -27iz = 0 -27iz + z4 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(-27i + z3) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-27i + z3)' equal to zero and attempt to solve: Simplifying -27i + z3 = 0 Solving -27i + z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '27i' to each side of the equation. -27i + 27i + z3 = 0 + 27i Combine like terms: -27i + 27i = 0 0 + z3 = 0 + 27i z3 = 0 + 27i Remove the zero: z3 = 27i Simplifying z3 = 27i 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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