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Simplifying (x + yi)(1 + -2i) = 5 Reorder the terms: (iy + x)(1 + -2i) = 5 Multiply (iy + x) * (1 + -2i) (iy(1 + -2i) + x(1 + -2i)) = 5 ((1 * iy + -2i * iy) + x(1 + -2i)) = 5 ((1iy + -2i2y) + x(1 + -2i)) = 5 (1iy + -2i2y + (1 * x + -2i * x)) = 5 Reorder the terms: (1iy + -2i2y + (-2ix + 1x)) = 5 (1iy + -2i2y + (-2ix + 1x)) = 5 Reorder the terms: (-2ix + 1iy + -2i2y + 1x) = 5 (-2ix + 1iy + -2i2y + 1x) = 5 Solving -2ix + 1iy + -2i2y + 1x = 5 Solving for variable 'i'. Reorder the terms: -5 + -2ix + 1iy + -2i2y + 1x = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + -2ix + 1iy + -2i2y + 1x = 0 The solution to this equation could not be determined.
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