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Simplifying z3 + 3z + -2i = 0 Reorder the terms: -2i + 3z + z3 = 0 Solving -2i + 3z + z3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3z' to each side of the equation. -2i + 3z + -3z + z3 = 0 + -3z Combine like terms: 3z + -3z = 0 -2i + 0 + z3 = 0 + -3z -2i + z3 = 0 + -3z Remove the zero: -2i + z3 = -3z Add '-1z3' to each side of the equation. -2i + z3 + -1z3 = -3z + -1z3 Combine like terms: z3 + -1z3 = 0 -2i + 0 = -3z + -1z3 -2i = -3z + -1z3 Divide each side by '-2'. i = 1.5z + 0.5z3 Simplifying i = 1.5z + 0.5z3
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