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Simplifying iz2 + (1 + -5i) * z + -1 + 8i = 0 Reorder the terms for easier multiplication: iz2 + z(1 + -5i) + -1 + 8i = 0 iz2 + (1 * z + -5i * z) + -1 + 8i = 0 Reorder the terms: iz2 + (-5iz + 1z) + -1 + 8i = 0 iz2 + (-5iz + 1z) + -1 + 8i = 0 Reorder the terms: -1 + 8i + -5iz + iz2 + 1z = 0 Solving -1 + 8i + -5iz + iz2 + 1z = 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 + 8i + -5iz + iz2 + 1 + 1z = 0 + 1 Reorder the terms: -1 + 1 + 8i + -5iz + iz2 + 1z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8i + -5iz + iz2 + 1z = 0 + 1 8i + -5iz + iz2 + 1z = 0 + 1 Combine like terms: 0 + 1 = 1 8i + -5iz + iz2 + 1z = 1 Add '-1z' to each side of the equation. 8i + -5iz + iz2 + 1z + -1z = 1 + -1z Combine like terms: 1z + -1z = 0 8i + -5iz + iz2 + 0 = 1 + -1z 8i + -5iz + iz2 = 1 + -1z Reorder the terms: -1 + 8i + -5iz + iz2 + z = 1 + -1z + -1 + z Reorder the terms: -1 + 8i + -5iz + iz2 + z = 1 + -1 + -1z + z Combine like terms: 1 + -1 = 0 -1 + 8i + -5iz + iz2 + z = 0 + -1z + z -1 + 8i + -5iz + iz2 + z = -1z + z Combine like terms: -1z + z = 0 -1 + 8i + -5iz + iz2 + z = 0 The solution to this equation could not be determined.
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