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Simplifying z3 + 3iz2 + 4 + 12i = 0 Reorder the terms: 4 + 12i + 3iz2 + z3 = 0 Solving 4 + 12i + 3iz2 + z3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 12i + 3iz2 + -4 + z3 = 0 + -4 Reorder the terms: 4 + -4 + 12i + 3iz2 + z3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 12i + 3iz2 + z3 = 0 + -4 12i + 3iz2 + z3 = 0 + -4 Combine like terms: 0 + -4 = -4 12i + 3iz2 + z3 = -4 Add '-1z3' to each side of the equation. 12i + 3iz2 + z3 + -1z3 = -4 + -1z3 Combine like terms: z3 + -1z3 = 0 12i + 3iz2 + 0 = -4 + -1z3 12i + 3iz2 = -4 + -1z3 Reorder the terms: 4 + 12i + 3iz2 + z3 = -4 + -1z3 + 4 + z3 Reorder the terms: 4 + 12i + 3iz2 + z3 = -4 + 4 + -1z3 + z3 Combine like terms: -4 + 4 = 0 4 + 12i + 3iz2 + z3 = 0 + -1z3 + z3 4 + 12i + 3iz2 + z3 = -1z3 + z3 Combine like terms: -1z3 + z3 = 0 4 + 12i + 3iz2 + z3 = 0 The solution to this equation could not be determined.
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