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Simplifying z^{3}+ 3iz + -1 + -1i = 0 Reorder the terms: -1 + -1i + 3iz + z^{3}= 0 Solving -1 + -1i + 3iz + z^{3}= 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1i + 3iz + 1 + z^{3}= 0 + 1 Reorder the terms: -1 + 1 + -1i + 3iz + z^{3}= 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1i + 3iz + z^{3}= 0 + 1 -1i + 3iz + z^{3}= 0 + 1 Combine like terms: 0 + 1 = 1 -1i + 3iz + z^{3}= 1 Add '-1z^{3}' to each side of the equation. -1i + 3iz + z^{3}+ -1z^{3}= 1 + -1z^{3}Combine like terms: z^{3}+ -1z^{3}= 0 -1i + 3iz + 0 = 1 + -1z^{3}-1i + 3iz = 1 + -1z^{3}Reorder the terms: -1 + -1i + 3iz + z^{3}= 1 + -1z^{3}+ -1 + z^{3}Reorder the terms: -1 + -1i + 3iz + z^{3}= 1 + -1 + -1z^{3}+ z^{3}Combine like terms: 1 + -1 = 0 -1 + -1i + 3iz + z^{3}= 0 + -1z^{3}+ z^{3}-1 + -1i + 3iz + z^{3}= -1z^{3}+ z^{3}Combine like terms: -1z^{3}+ z^{3}= 0 -1 + -1i + 3iz + z^{3}= 0 The solution to this equation could not be determined.

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