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Simplifying (1 + -1i) * z = 2i Reorder the terms for easier multiplication: z(1 + -1i) = 2i (1 * z + -1i * z) = 2i Reorder the terms: (-1iz + 1z) = 2i (-1iz + 1z) = 2i Solving -1iz + 1z = 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. -1iz + -2i + 1z = 2i + -2i Reorder the terms: -2i + -1iz + 1z = 2i + -2i Combine like terms: 2i + -2i = 0 -2i + -1iz + 1z = 0 Add '-1z' to each side of the equation. -2i + -1iz + 1z + -1z = 0 + -1z Combine like terms: 1z + -1z = 0 -2i + -1iz + 0 = 0 + -1z -2i + -1iz = 0 + -1z Remove the zero: -2i + -1iz = -1z Combine like terms: -1z + z = 0 -2i + -1iz + z = 0 The solution to this equation could not be determined.
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