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Simplifying (3 + 2i)(x + yi) = -1i Reorder the terms: (3 + 2i)(iy + x) = -1i Multiply (3 + 2i) * (iy + x) (3(iy + x) + 2i * (iy + x)) = -1i ((iy * 3 + x * 3) + 2i * (iy + x)) = -1i ((3iy + 3x) + 2i * (iy + x)) = -1i (3iy + 3x + (iy * 2i + x * 2i)) = -1i Reorder the terms: (3iy + 3x + (2ix + 2i2y)) = -1i (3iy + 3x + (2ix + 2i2y)) = -1i Reorder the terms: (2ix + 3iy + 2i2y + 3x) = -1i (2ix + 3iy + 2i2y + 3x) = -1i Solving 2ix + 3iy + 2i2y + 3x = -1i Solving for variable 'i'. Reorder the terms: i + 2ix + 3iy + 2i2y + 3x = -1i + i Combine like terms: -1i + i = 0 i + 2ix + 3iy + 2i2y + 3x = 0 The solution to this equation could not be determined.
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