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