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Simplifying z3 + -1(4 + -3i) * z2 + (9 + -2i) * z + -2 + 11i = 0 Reorder the terms for easier multiplication: z3 + -1z2(4 + -3i) + (9 + -2i) * z + -2 + 11i = 0 z3 + (4 * -1z2 + -3i * -1z2) + (9 + -2i) * z + -2 + 11i = 0 Reorder the terms: z3 + (3iz2 + -4z2) + (9 + -2i) * z + -2 + 11i = 0 z3 + (3iz2 + -4z2) + (9 + -2i) * z + -2 + 11i = 0 Reorder the terms for easier multiplication: z3 + 3iz2 + -4z2 + z(9 + -2i) + -2 + 11i = 0 z3 + 3iz2 + -4z2 + (9 * z + -2i * z) + -2 + 11i = 0 Reorder the terms: z3 + 3iz2 + -4z2 + (-2iz + 9z) + -2 + 11i = 0 z3 + 3iz2 + -4z2 + (-2iz + 9z) + -2 + 11i = 0 Reorder the terms: -2 + 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = 0 Solving -2 + 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 11i + -2iz + 3iz2 + 9z + -4z2 + 2 + z3 = 0 + 2 Reorder the terms: -2 + 2 + 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = 0 + 2 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = 0 + 2 Combine like terms: 0 + 2 = 2 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = 2 Add '-9z' to each side of the equation. 11i + -2iz + 3iz2 + 9z + -4z2 + -9z + z3 = 2 + -9z Reorder the terms: 11i + -2iz + 3iz2 + 9z + -9z + -4z2 + z3 = 2 + -9z Combine like terms: 9z + -9z = 0 11i + -2iz + 3iz2 + 0 + -4z2 + z3 = 2 + -9z 11i + -2iz + 3iz2 + -4z2 + z3 = 2 + -9z Add '4z2' to each side of the equation. 11i + -2iz + 3iz2 + -4z2 + 4z2 + z3 = 2 + -9z + 4z2 Combine like terms: -4z2 + 4z2 = 0 11i + -2iz + 3iz2 + 0 + z3 = 2 + -9z + 4z2 11i + -2iz + 3iz2 + z3 = 2 + -9z + 4z2 Add '-1z3' to each side of the equation. 11i + -2iz + 3iz2 + z3 + -1z3 = 2 + -9z + 4z2 + -1z3 Combine like terms: z3 + -1z3 = 0 11i + -2iz + 3iz2 + 0 = 2 + -9z + 4z2 + -1z3 11i + -2iz + 3iz2 = 2 + -9z + 4z2 + -1z3 Reorder the terms: -2 + 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = 2 + -9z + 4z2 + -1z3 + -2 + 9z + -4z2 + z3 Reorder the terms: -2 + 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = 2 + -2 + -9z + 9z + 4z2 + -4z2 + -1z3 + z3 Combine like terms: 2 + -2 = 0 -2 + 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = 0 + -9z + 9z + 4z2 + -4z2 + -1z3 + z3 -2 + 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = -9z + 9z + 4z2 + -4z2 + -1z3 + z3 Combine like terms: -9z + 9z = 0 -2 + 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = 0 + 4z2 + -4z2 + -1z3 + z3 -2 + 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = 4z2 + -4z2 + -1z3 + z3 Combine like terms: 4z2 + -4z2 = 0 -2 + 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = 0 + -1z3 + z3 -2 + 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = -1z3 + z3 Combine like terms: -1z3 + z3 = 0 -2 + 11i + -2iz + 3iz2 + 9z + -4z2 + z3 = 0 The solution to this equation could not be determined.
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