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Simplifying z3(3 + 2i) + 2 + -3i = 0 (3 * z3 + 2i * z3) + 2 + -3i = 0 Reorder the terms: (2iz3 + 3z3) + 2 + -3i = 0 (2iz3 + 3z3) + 2 + -3i = 0 Reorder the terms: 2 + -3i + 2iz3 + 3z3 = 0 Solving 2 + -3i + 2iz3 + 3z3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3i + 2iz3 + -2 + 3z3 = 0 + -2 Reorder the terms: 2 + -2 + -3i + 2iz3 + 3z3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3i + 2iz3 + 3z3 = 0 + -2 -3i + 2iz3 + 3z3 = 0 + -2 Combine like terms: 0 + -2 = -2 -3i + 2iz3 + 3z3 = -2 Add '-3z3' to each side of the equation. -3i + 2iz3 + 3z3 + -3z3 = -2 + -3z3 Combine like terms: 3z3 + -3z3 = 0 -3i + 2iz3 + 0 = -2 + -3z3 -3i + 2iz3 = -2 + -3z3 Reorder the terms: 2 + -3i + 2iz3 + 3z3 = -2 + -3z3 + 2 + 3z3 Reorder the terms: 2 + -3i + 2iz3 + 3z3 = -2 + 2 + -3z3 + 3z3 Combine like terms: -2 + 2 = 0 2 + -3i + 2iz3 + 3z3 = 0 + -3z3 + 3z3 2 + -3i + 2iz3 + 3z3 = -3z3 + 3z3 Combine like terms: -3z3 + 3z3 = 0 2 + -3i + 2iz3 + 3z3 = 0 The solution to this equation could not be determined.
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