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Simplifying (1 + -1i) * z2 + iz + (1 + i) = 0 Reorder the terms for easier multiplication: z2(1 + -1i) + iz + (1 + i) = 0 (1 * z2 + -1i * z2) + iz + (1 + i) = 0 Reorder the terms: (-1iz2 + 1z2) + iz + (1 + i) = 0 (-1iz2 + 1z2) + iz + (1 + i) = 0 Remove parenthesis around (1 + i) -1iz2 + 1z2 + iz + 1 + i = 0 Reorder the terms: 1 + i + iz + -1iz2 + 1z2 = 0 Solving 1 + i + iz + -1iz2 + 1z2 = 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 + i + iz + -1iz2 + -1 + 1z2 = 0 + -1 Reorder the terms: 1 + -1 + i + iz + -1iz2 + 1z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + i + iz + -1iz2 + 1z2 = 0 + -1 i + iz + -1iz2 + 1z2 = 0 + -1 Combine like terms: 0 + -1 = -1 i + iz + -1iz2 + 1z2 = -1 Add '-1z2' to each side of the equation. i + iz + -1iz2 + 1z2 + -1z2 = -1 + -1z2 Combine like terms: 1z2 + -1z2 = 0 i + iz + -1iz2 + 0 = -1 + -1z2 i + iz + -1iz2 = -1 + -1z2 Reorder the terms: 1 + i + iz + -1iz2 + z2 = -1 + -1z2 + 1 + z2 Reorder the terms: 1 + i + iz + -1iz2 + z2 = -1 + 1 + -1z2 + z2 Combine like terms: -1 + 1 = 0 1 + i + iz + -1iz2 + z2 = 0 + -1z2 + z2 1 + i + iz + -1iz2 + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 1 + i + iz + -1iz2 + z2 = 0 The solution to this equation could not be determined.
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