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Simplifying z2 + -1(3 + 5i) * z + 8i + -5 = 0 Reorder the terms for easier multiplication: z2 + -1z(3 + 5i) + 8i + -5 = 0 z2 + (3 * -1z + 5i * -1z) + 8i + -5 = 0 Reorder the terms: z2 + (-5iz + -3z) + 8i + -5 = 0 z2 + (-5iz + -3z) + 8i + -5 = 0 Reorder the terms: -5 + 8i + -5iz + -3z + z2 = 0 Solving -5 + 8i + -5iz + -3z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 8i + -5iz + -3z + 5 + z2 = 0 + 5 Reorder the terms: -5 + 5 + 8i + -5iz + -3z + z2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8i + -5iz + -3z + z2 = 0 + 5 8i + -5iz + -3z + z2 = 0 + 5 Combine like terms: 0 + 5 = 5 8i + -5iz + -3z + z2 = 5 Add '3z' to each side of the equation. 8i + -5iz + -3z + 3z + z2 = 5 + 3z Combine like terms: -3z + 3z = 0 8i + -5iz + 0 + z2 = 5 + 3z 8i + -5iz + z2 = 5 + 3z Add '-1z2' to each side of the equation. 8i + -5iz + z2 + -1z2 = 5 + 3z + -1z2 Combine like terms: z2 + -1z2 = 0 8i + -5iz + 0 = 5 + 3z + -1z2 8i + -5iz = 5 + 3z + -1z2 Reorder the terms: -5 + 8i + -5iz + -3z + z2 = 5 + 3z + -1z2 + -5 + -3z + z2 Reorder the terms: -5 + 8i + -5iz + -3z + z2 = 5 + -5 + 3z + -3z + -1z2 + z2 Combine like terms: 5 + -5 = 0 -5 + 8i + -5iz + -3z + z2 = 0 + 3z + -3z + -1z2 + z2 -5 + 8i + -5iz + -3z + z2 = 3z + -3z + -1z2 + z2 Combine like terms: 3z + -3z = 0 -5 + 8i + -5iz + -3z + z2 = 0 + -1z2 + z2 -5 + 8i + -5iz + -3z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -5 + 8i + -5iz + -3z + z2 = 0 The solution to this equation could not be determined.
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