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