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