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Simplifying z * z + -4i * z = 4 + -8i Multiply z * z z2 + -4i * z = 4 + -8i Multiply i * z z2 + -4iz = 4 + -8i Reorder the terms: -4iz + z2 = 4 + -8i Solving -4iz + z2 = 4 + -8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8i' to each side of the equation. -4iz + 8i + z2 = 4 + -8i + 8i Reorder the terms: 8i + -4iz + z2 = 4 + -8i + 8i Combine like terms: -8i + 8i = 0 8i + -4iz + z2 = 4 + 0 8i + -4iz + z2 = 4 Add '-1z2' to each side of the equation. 8i + -4iz + z2 + -1z2 = 4 + -1z2 Combine like terms: z2 + -1z2 = 0 8i + -4iz + 0 = 4 + -1z2 8i + -4iz = 4 + -1z2 Reorder the terms: -4 + 8i + -4iz + z2 = 4 + -1z2 + -4 + z2 Reorder the terms: -4 + 8i + -4iz + z2 = 4 + -4 + -1z2 + z2 Combine like terms: 4 + -4 = 0 -4 + 8i + -4iz + z2 = 0 + -1z2 + z2 -4 + 8i + -4iz + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -4 + 8i + -4iz + z2 = 0 The solution to this equation could not be determined.
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