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Simplifying (1 + i) * z2 + 6iz + (-1 + i) = 0 Reorder the terms for easier multiplication: z2(1 + i) + 6iz + (-1 + i) = 0 (1 * z2 + i * z2) + 6iz + (-1 + i) = 0 Reorder the terms: (iz2 + 1z2) + 6iz + (-1 + i) = 0 (iz2 + 1z2) + 6iz + (-1 + i) = 0 Remove parenthesis around (-1 + i) iz2 + 1z2 + 6iz + -1 + i = 0 Reorder the terms: -1 + i + 6iz + iz2 + 1z2 = 0 Solving -1 + i + 6iz + iz2 + 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 + 6iz + iz2 + 1 + 1z2 = 0 + 1 Reorder the terms: -1 + 1 + i + 6iz + iz2 + 1z2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + i + 6iz + iz2 + 1z2 = 0 + 1 i + 6iz + iz2 + 1z2 = 0 + 1 Combine like terms: 0 + 1 = 1 i + 6iz + iz2 + 1z2 = 1 Add '-1z2' to each side of the equation. i + 6iz + iz2 + 1z2 + -1z2 = 1 + -1z2 Combine like terms: 1z2 + -1z2 = 0 i + 6iz + iz2 + 0 = 1 + -1z2 i + 6iz + iz2 = 1 + -1z2 Reorder the terms: -1 + i + 6iz + iz2 + z2 = 1 + -1z2 + -1 + z2 Reorder the terms: -1 + i + 6iz + iz2 + z2 = 1 + -1 + -1z2 + z2 Combine like terms: 1 + -1 = 0 -1 + i + 6iz + iz2 + z2 = 0 + -1z2 + z2 -1 + i + 6iz + iz2 + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -1 + i + 6iz + iz2 + z2 = 0 The solution to this equation could not be determined.
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