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Simplifying z3 + -3z2 + 5z + -3 + -3i = 0 Reorder the terms: -3 + -3i + 5z + -3z2 + z3 = 0 Solving -3 + -3i + 5z + -3z2 + z3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -3i + 5z + -3z2 + 3 + z3 = 0 + 3 Reorder the terms: -3 + 3 + -3i + 5z + -3z2 + z3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3i + 5z + -3z2 + z3 = 0 + 3 -3i + 5z + -3z2 + z3 = 0 + 3 Combine like terms: 0 + 3 = 3 -3i + 5z + -3z2 + z3 = 3 Add '-5z' to each side of the equation. -3i + 5z + -3z2 + -5z + z3 = 3 + -5z Reorder the terms: -3i + 5z + -5z + -3z2 + z3 = 3 + -5z Combine like terms: 5z + -5z = 0 -3i + 0 + -3z2 + z3 = 3 + -5z -3i + -3z2 + z3 = 3 + -5z Add '3z2' to each side of the equation. -3i + -3z2 + 3z2 + z3 = 3 + -5z + 3z2 Combine like terms: -3z2 + 3z2 = 0 -3i + 0 + z3 = 3 + -5z + 3z2 -3i + z3 = 3 + -5z + 3z2 Add '-1z3' to each side of the equation. -3i + z3 + -1z3 = 3 + -5z + 3z2 + -1z3 Combine like terms: z3 + -1z3 = 0 -3i + 0 = 3 + -5z + 3z2 + -1z3 -3i = 3 + -5z + 3z2 + -1z3 Divide each side by '-3'. i = -1 + 1.666666667z + -1z2 + 0.3333333333z3 Simplifying i = -1 + 1.666666667z + -1z2 + 0.3333333333z3
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