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Simplifying z3 + 2z2 + z + -2i = 0 Reorder the terms: -2i + z + 2z2 + z3 = 0 Solving -2i + z + 2z2 + 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. -2i + z + 2z2 + -1z + z3 = 0 + -1z Reorder the terms: -2i + z + -1z + 2z2 + z3 = 0 + -1z Combine like terms: z + -1z = 0 -2i + 0 + 2z2 + z3 = 0 + -1z -2i + 2z2 + z3 = 0 + -1z Remove the zero: -2i + 2z2 + z3 = -1z Add '-2z2' to each side of the equation. -2i + 2z2 + -2z2 + z3 = -1z + -2z2 Combine like terms: 2z2 + -2z2 = 0 -2i + 0 + z3 = -1z + -2z2 -2i + z3 = -1z + -2z2 Add '-1z3' to each side of the equation. -2i + z3 + -1z3 = -1z + -2z2 + -1z3 Combine like terms: z3 + -1z3 = 0 -2i + 0 = -1z + -2z2 + -1z3 -2i = -1z + -2z2 + -1z3 Divide each side by '-2'. i = 0.5z + z2 + 0.5z3 Simplifying i = 0.5z + z2 + 0.5z3
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