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