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Simplifying (x + -1iy)(3 + -2i) = 4 + i Reorder the terms: (-1iy + x)(3 + -2i) = 4 + i Multiply (-1iy + x) * (3 + -2i) (-1iy * (3 + -2i) + x(3 + -2i)) = 4 + i ((3 * -1iy + -2i * -1iy) + x(3 + -2i)) = 4 + i ((-3iy + 2i2y) + x(3 + -2i)) = 4 + i (-3iy + 2i2y + (3 * x + -2i * x)) = 4 + i Reorder the terms: (-3iy + 2i2y + (-2ix + 3x)) = 4 + i (-3iy + 2i2y + (-2ix + 3x)) = 4 + i Reorder the terms: (-2ix + -3iy + 2i2y + 3x) = 4 + i (-2ix + -3iy + 2i2y + 3x) = 4 + i Solving -2ix + -3iy + 2i2y + 3x = 4 + i Solving for variable 'i'. Reorder the terms: -4 + -1i + -2ix + -3iy + 2i2y + 3x = 4 + i + -4 + -1i Reorder the terms: -4 + -1i + -2ix + -3iy + 2i2y + 3x = 4 + -4 + i + -1i Combine like terms: 4 + -4 = 0 -4 + -1i + -2ix + -3iy + 2i2y + 3x = 0 + i + -1i -4 + -1i + -2ix + -3iy + 2i2y + 3x = i + -1i Combine like terms: i + -1i = 0 -4 + -1i + -2ix + -3iy + 2i2y + 3x = 0 The solution to this equation could not be determined.
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