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Simplifying z2 + (z + 2i) * z + 3 + 2i = 0 Reorder the terms: z2 + (2i + z) * z + 3 + 2i = 0 Reorder the terms for easier multiplication: z2 + z(2i + z) + 3 + 2i = 0 z2 + (2i * z + z * z) + 3 + 2i = 0 z2 + (2iz + z2) + 3 + 2i = 0 Reorder the terms: 3 + 2i + 2iz + z2 + z2 = 0 Combine like terms: z2 + z2 = 2z2 3 + 2i + 2iz + 2z2 = 0 Solving 3 + 2i + 2iz + 2z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2i + 2iz + -3 + 2z2 = 0 + -3 Reorder the terms: 3 + -3 + 2i + 2iz + 2z2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2i + 2iz + 2z2 = 0 + -3 2i + 2iz + 2z2 = 0 + -3 Combine like terms: 0 + -3 = -3 2i + 2iz + 2z2 = -3 Add '-2z2' to each side of the equation. 2i + 2iz + 2z2 + -2z2 = -3 + -2z2 Combine like terms: 2z2 + -2z2 = 0 2i + 2iz + 0 = -3 + -2z2 2i + 2iz = -3 + -2z2 Reorder the terms: 3 + 2i + 2iz + 2z2 = -3 + -2z2 + 3 + 2z2 Reorder the terms: 3 + 2i + 2iz + 2z2 = -3 + 3 + -2z2 + 2z2 Combine like terms: -3 + 3 = 0 3 + 2i + 2iz + 2z2 = 0 + -2z2 + 2z2 3 + 2i + 2iz + 2z2 = -2z2 + 2z2 Combine like terms: -2z2 + 2z2 = 0 3 + 2i + 2iz + 2z2 = 0 The solution to this equation could not be determined.
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