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Simplifying z3 + -4z2 + 3i = 0 Reorder the terms: 3i + -4z2 + z3 = 0 Solving 3i + -4z2 + z3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4z2' to each side of the equation. 3i + -4z2 + 4z2 + z3 = 0 + 4z2 Combine like terms: -4z2 + 4z2 = 0 3i + 0 + z3 = 0 + 4z2 3i + z3 = 0 + 4z2 Remove the zero: 3i + z3 = 4z2 Add '-1z3' to each side of the equation. 3i + z3 + -1z3 = 4z2 + -1z3 Combine like terms: z3 + -1z3 = 0 3i + 0 = 4z2 + -1z3 3i = 4z2 + -1z3 Divide each side by '3'. i = 1.333333333z2 + -0.3333333333z3 Simplifying i = 1.333333333z2 + -0.3333333333z3
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