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Simplifying (x + iy)(3 + -1iy) = (1 + 2i) Reorder the terms: (iy + x)(3 + -1iy) = (1 + 2i) Multiply (iy + x) * (3 + -1iy) (iy(3 + -1iy) + x(3 + -1iy)) = (1 + 2i) ((3 * iy + -1iy * iy) + x(3 + -1iy)) = (1 + 2i) ((3iy + -1i2y2) + x(3 + -1iy)) = (1 + 2i) (3iy + -1i2y2 + (3 * x + -1iy * x)) = (1 + 2i) Reorder the terms: (3iy + -1i2y2 + (-1ixy + 3x)) = (1 + 2i) (3iy + -1i2y2 + (-1ixy + 3x)) = (1 + 2i) Reorder the terms: (-1ixy + 3iy + -1i2y2 + 3x) = (1 + 2i) (-1ixy + 3iy + -1i2y2 + 3x) = (1 + 2i) Remove parenthesis around (1 + 2i) -1ixy + 3iy + -1i2y2 + 3x = 1 + 2i Solving -1ixy + 3iy + -1i2y2 + 3x = 1 + 2i Solving for variable 'i'. Reorder the terms: -1 + -2i + -1ixy + 3iy + -1i2y2 + 3x = 1 + 2i + -1 + -2i Reorder the terms: -1 + -2i + -1ixy + 3iy + -1i2y2 + 3x = 1 + -1 + 2i + -2i Combine like terms: 1 + -1 = 0 -1 + -2i + -1ixy + 3iy + -1i2y2 + 3x = 0 + 2i + -2i -1 + -2i + -1ixy + 3iy + -1i2y2 + 3x = 2i + -2i Combine like terms: 2i + -2i = 0 -1 + -2i + -1ixy + 3iy + -1i2y2 + 3x = 0 The solution to this equation could not be determined.
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