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Simplifying z3 + -2iz2 + -2(2i + 1) * z + -20 + -8i = 0 Reorder the terms: z3 + -2iz2 + -2(1 + 2i) * z + -20 + -8i = 0 Reorder the terms for easier multiplication: z3 + -2iz2 + -2z(1 + 2i) + -20 + -8i = 0 z3 + -2iz2 + (1 * -2z + 2i * -2z) + -20 + -8i = 0 Reorder the terms: z3 + -2iz2 + (-4iz + -2z) + -20 + -8i = 0 z3 + -2iz2 + (-4iz + -2z) + -20 + -8i = 0 Reorder the terms: -20 + -8i + -4iz + -2iz2 + -2z + z3 = 0 Solving -20 + -8i + -4iz + -2iz2 + -2z + z3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -8i + -4iz + -2iz2 + -2z + 20 + z3 = 0 + 20 Reorder the terms: -20 + 20 + -8i + -4iz + -2iz2 + -2z + z3 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -8i + -4iz + -2iz2 + -2z + z3 = 0 + 20 -8i + -4iz + -2iz2 + -2z + z3 = 0 + 20 Combine like terms: 0 + 20 = 20 -8i + -4iz + -2iz2 + -2z + z3 = 20 Add '2z' to each side of the equation. -8i + -4iz + -2iz2 + -2z + 2z + z3 = 20 + 2z Combine like terms: -2z + 2z = 0 -8i + -4iz + -2iz2 + 0 + z3 = 20 + 2z -8i + -4iz + -2iz2 + z3 = 20 + 2z Add '-1z3' to each side of the equation. -8i + -4iz + -2iz2 + z3 + -1z3 = 20 + 2z + -1z3 Combine like terms: z3 + -1z3 = 0 -8i + -4iz + -2iz2 + 0 = 20 + 2z + -1z3 -8i + -4iz + -2iz2 = 20 + 2z + -1z3 Reorder the terms: -20 + -8i + -4iz + -2iz2 + -2z + z3 = 20 + 2z + -1z3 + -20 + -2z + z3 Reorder the terms: -20 + -8i + -4iz + -2iz2 + -2z + z3 = 20 + -20 + 2z + -2z + -1z3 + z3 Combine like terms: 20 + -20 = 0 -20 + -8i + -4iz + -2iz2 + -2z + z3 = 0 + 2z + -2z + -1z3 + z3 -20 + -8i + -4iz + -2iz2 + -2z + z3 = 2z + -2z + -1z3 + z3 Combine like terms: 2z + -2z = 0 -20 + -8i + -4iz + -2iz2 + -2z + z3 = 0 + -1z3 + z3 -20 + -8i + -4iz + -2iz2 + -2z + z3 = -1z3 + z3 Combine like terms: -1z3 + z3 = 0 -20 + -8i + -4iz + -2iz2 + -2z + z3 = 0 The solution to this equation could not be determined.
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