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Simplifying z2 + -1(5 + 3i) * z + i + 21 = 0 Reorder the terms for easier multiplication: z2 + -1z(5 + 3i) + i + 21 = 0 z2 + (5 * -1z + 3i * -1z) + i + 21 = 0 Reorder the terms: z2 + (-3iz + -5z) + i + 21 = 0 z2 + (-3iz + -5z) + i + 21 = 0 Reorder the terms: 21 + i + -3iz + -5z + z2 = 0 Solving 21 + i + -3iz + -5z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + i + -3iz + -5z + -21 + z2 = 0 + -21 Reorder the terms: 21 + -21 + i + -3iz + -5z + z2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + i + -3iz + -5z + z2 = 0 + -21 i + -3iz + -5z + z2 = 0 + -21 Combine like terms: 0 + -21 = -21 i + -3iz + -5z + z2 = -21 Add '5z' to each side of the equation. i + -3iz + -5z + 5z + z2 = -21 + 5z Combine like terms: -5z + 5z = 0 i + -3iz + 0 + z2 = -21 + 5z i + -3iz + z2 = -21 + 5z Add '-1z2' to each side of the equation. i + -3iz + z2 + -1z2 = -21 + 5z + -1z2 Combine like terms: z2 + -1z2 = 0 i + -3iz + 0 = -21 + 5z + -1z2 i + -3iz = -21 + 5z + -1z2 Reorder the terms: 21 + i + -3iz + -5z + z2 = -21 + 5z + -1z2 + 21 + -5z + z2 Reorder the terms: 21 + i + -3iz + -5z + z2 = -21 + 21 + 5z + -5z + -1z2 + z2 Combine like terms: -21 + 21 = 0 21 + i + -3iz + -5z + z2 = 0 + 5z + -5z + -1z2 + z2 21 + i + -3iz + -5z + z2 = 5z + -5z + -1z2 + z2 Combine like terms: 5z + -5z = 0 21 + i + -3iz + -5z + z2 = 0 + -1z2 + z2 21 + i + -3iz + -5z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 21 + i + -3iz + -5z + z2 = 0 The solution to this equation could not be determined.
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