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Simplifying z2 + (4 + -3i) * z + 1 + -5i = 0 Reorder the terms for easier multiplication: z2 + z(4 + -3i) + 1 + -5i = 0 z2 + (4 * z + -3i * z) + 1 + -5i = 0 Reorder the terms: z2 + (-3iz + 4z) + 1 + -5i = 0 z2 + (-3iz + 4z) + 1 + -5i = 0 Reorder the terms: 1 + -5i + -3iz + 4z + z2 = 0 Solving 1 + -5i + -3iz + 4z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -5i + -3iz + 4z + -1 + z2 = 0 + -1 Reorder the terms: 1 + -1 + -5i + -3iz + 4z + z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5i + -3iz + 4z + z2 = 0 + -1 -5i + -3iz + 4z + z2 = 0 + -1 Combine like terms: 0 + -1 = -1 -5i + -3iz + 4z + z2 = -1 Add '-4z' to each side of the equation. -5i + -3iz + 4z + -4z + z2 = -1 + -4z Combine like terms: 4z + -4z = 0 -5i + -3iz + 0 + z2 = -1 + -4z -5i + -3iz + z2 = -1 + -4z Add '-1z2' to each side of the equation. -5i + -3iz + z2 + -1z2 = -1 + -4z + -1z2 Combine like terms: z2 + -1z2 = 0 -5i + -3iz + 0 = -1 + -4z + -1z2 -5i + -3iz = -1 + -4z + -1z2 Reorder the terms: 1 + -5i + -3iz + 4z + z2 = -1 + -4z + -1z2 + 1 + 4z + z2 Reorder the terms: 1 + -5i + -3iz + 4z + z2 = -1 + 1 + -4z + 4z + -1z2 + z2 Combine like terms: -1 + 1 = 0 1 + -5i + -3iz + 4z + z2 = 0 + -4z + 4z + -1z2 + z2 1 + -5i + -3iz + 4z + z2 = -4z + 4z + -1z2 + z2 Combine like terms: -4z + 4z = 0 1 + -5i + -3iz + 4z + z2 = 0 + -1z2 + z2 1 + -5i + -3iz + 4z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 1 + -5i + -3iz + 4z + z2 = 0 The solution to this equation could not be determined.
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