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Simplifying z2 + (7 + i) * z + 24 + 7i = 0 Reorder the terms for easier multiplication: z2 + z(7 + i) + 24 + 7i = 0 z2 + (7 * z + i * z) + 24 + 7i = 0 Reorder the terms: z2 + (iz + 7z) + 24 + 7i = 0 z2 + (iz + 7z) + 24 + 7i = 0 Reorder the terms: 24 + 7i + iz + 7z + z2 = 0 Solving 24 + 7i + iz + 7z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 7i + iz + 7z + -24 + z2 = 0 + -24 Reorder the terms: 24 + -24 + 7i + iz + 7z + z2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 7i + iz + 7z + z2 = 0 + -24 7i + iz + 7z + z2 = 0 + -24 Combine like terms: 0 + -24 = -24 7i + iz + 7z + z2 = -24 Add '-7z' to each side of the equation. 7i + iz + 7z + -7z + z2 = -24 + -7z Combine like terms: 7z + -7z = 0 7i + iz + 0 + z2 = -24 + -7z 7i + iz + z2 = -24 + -7z Add '-1z2' to each side of the equation. 7i + iz + z2 + -1z2 = -24 + -7z + -1z2 Combine like terms: z2 + -1z2 = 0 7i + iz + 0 = -24 + -7z + -1z2 7i + iz = -24 + -7z + -1z2 Reorder the terms: 24 + 7i + iz + 7z + z2 = -24 + -7z + -1z2 + 24 + 7z + z2 Reorder the terms: 24 + 7i + iz + 7z + z2 = -24 + 24 + -7z + 7z + -1z2 + z2 Combine like terms: -24 + 24 = 0 24 + 7i + iz + 7z + z2 = 0 + -7z + 7z + -1z2 + z2 24 + 7i + iz + 7z + z2 = -7z + 7z + -1z2 + z2 Combine like terms: -7z + 7z = 0 24 + 7i + iz + 7z + z2 = 0 + -1z2 + z2 24 + 7i + iz + 7z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 24 + 7i + iz + 7z + z2 = 0 The solution to this equation could not be determined.
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