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Simplifying (x + 2iy)(y + -2ix) = 2 + -3i Reorder the terms: (2iy + x)(y + -2ix) = 2 + -3i Reorder the terms: (2iy + x)(-2ix + y) = 2 + -3i Multiply (2iy + x) * (-2ix + y) (2iy * (-2ix + y) + x(-2ix + y)) = 2 + -3i ((-2ix * 2iy + y * 2iy) + x(-2ix + y)) = 2 + -3i Reorder the terms: ((2iy2 + -4i2xy) + x(-2ix + y)) = 2 + -3i ((2iy2 + -4i2xy) + x(-2ix + y)) = 2 + -3i (2iy2 + -4i2xy + (-2ix * x + y * x)) = 2 + -3i (2iy2 + -4i2xy + (-2ix2 + xy)) = 2 + -3i Reorder the terms: (-2ix2 + 2iy2 + -4i2xy + xy) = 2 + -3i (-2ix2 + 2iy2 + -4i2xy + xy) = 2 + -3i Solving -2ix2 + 2iy2 + -4i2xy + xy = 2 + -3i Solving for variable 'i'. Reorder the terms: -2 + 3i + -2ix2 + 2iy2 + -4i2xy + xy = 2 + -3i + -2 + 3i Reorder the terms: -2 + 3i + -2ix2 + 2iy2 + -4i2xy + xy = 2 + -2 + -3i + 3i Combine like terms: 2 + -2 = 0 -2 + 3i + -2ix2 + 2iy2 + -4i2xy + xy = 0 + -3i + 3i -2 + 3i + -2ix2 + 2iy2 + -4i2xy + xy = -3i + 3i Combine like terms: -3i + 3i = 0 -2 + 3i + -2ix2 + 2iy2 + -4i2xy + xy = 0 The solution to this equation could not be determined.
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