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Simplifying (x + yi)(2 + -3i) = -13i Reorder the terms: (iy + x)(2 + -3i) = -13i Multiply (iy + x) * (2 + -3i) (iy(2 + -3i) + x(2 + -3i)) = -13i ((2 * iy + -3i * iy) + x(2 + -3i)) = -13i ((2iy + -3i2y) + x(2 + -3i)) = -13i (2iy + -3i2y + (2 * x + -3i * x)) = -13i Reorder the terms: (2iy + -3i2y + (-3ix + 2x)) = -13i (2iy + -3i2y + (-3ix + 2x)) = -13i Reorder the terms: (-3ix + 2iy + -3i2y + 2x) = -13i (-3ix + 2iy + -3i2y + 2x) = -13i Solving -3ix + 2iy + -3i2y + 2x = -13i Solving for variable 'i'. Reorder the terms: 13i + -3ix + 2iy + -3i2y + 2x = -13i + 13i Combine like terms: -13i + 13i = 0 13i + -3ix + 2iy + -3i2y + 2x = 0 The solution to this equation could not be determined.
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