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Simplifying z3 + 3iz2 + -2z = 0 Reorder the terms: 3iz2 + -2z + z3 = 0 Solving 3iz2 + -2z + z3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2z' to each side of the equation. 3iz2 + -2z + 2z + z3 = 0 + 2z Combine like terms: -2z + 2z = 0 3iz2 + 0 + z3 = 0 + 2z 3iz2 + z3 = 0 + 2z Remove the zero: 3iz2 + z3 = 2z Add '-1z3' to each side of the equation. 3iz2 + z3 + -1z3 = 2z + -1z3 Combine like terms: z3 + -1z3 = 0 3iz2 + 0 = 2z + -1z3 3iz2 = 2z + -1z3 Divide each side by '3z2'. i = 0.6666666667z-1 + -0.3333333333z Simplifying i = 0.6666666667z-1 + -0.3333333333z
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