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Simplifying (1 + -1i)(z + -1i) + 2z = 2i Reorder the terms: (1 + -1i)(-1i + z) + 2z = 2i Multiply (1 + -1i) * (-1i + z) (1(-1i + z) + -1i * (-1i + z)) + 2z = 2i ((-1i * 1 + z * 1) + -1i * (-1i + z)) + 2z = 2i ((-1i + 1z) + -1i * (-1i + z)) + 2z = 2i (-1i + 1z + (-1i * -1i + z * -1i)) + 2z = 2i Reorder the terms: (-1i + 1z + (-1iz + 1i2)) + 2z = 2i (-1i + 1z + (-1iz + 1i2)) + 2z = 2i Reorder the terms: (-1i + -1iz + 1i2 + 1z) + 2z = 2i (-1i + -1iz + 1i2 + 1z) + 2z = 2i Combine like terms: 1z + 2z = 3z -1i + -1iz + 1i2 + 3z = 2i Solving -1i + -1iz + 1i2 + 3z = 2i Solving for variable 'i'. Reorder the terms: -1i + -2i + -1iz + 1i2 + 3z = 2i + -2i Combine like terms: -1i + -2i = -3i -3i + -1iz + 1i2 + 3z = 2i + -2i Combine like terms: 2i + -2i = 0 -3i + -1iz + 1i2 + 3z = 0 The solution to this equation could not be determined.
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