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