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