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