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Simplifying (x + 2i)(4 + -1yi) = 10 + 6i Reorder the terms: (2i + x)(4 + -1yi) = 10 + 6i Multiply (2i + x) * (4 + -1iy) (2i * (4 + -1iy) + x(4 + -1iy)) = 10 + 6i ((4 * 2i + -1iy * 2i) + x(4 + -1iy)) = 10 + 6i ((8i + -2i2y) + x(4 + -1iy)) = 10 + 6i (8i + -2i2y + (4 * x + -1iy * x)) = 10 + 6i Reorder the terms: (8i + -2i2y + (-1ixy + 4x)) = 10 + 6i (8i + -2i2y + (-1ixy + 4x)) = 10 + 6i Reorder the terms: (8i + -1ixy + -2i2y + 4x) = 10 + 6i (8i + -1ixy + -2i2y + 4x) = 10 + 6i Solving 8i + -1ixy + -2i2y + 4x = 10 + 6i Solving for variable 'i'. Reorder the terms: -10 + 8i + -6i + -1ixy + -2i2y + 4x = 10 + 6i + -10 + -6i Combine like terms: 8i + -6i = 2i -10 + 2i + -1ixy + -2i2y + 4x = 10 + 6i + -10 + -6i Reorder the terms: -10 + 2i + -1ixy + -2i2y + 4x = 10 + -10 + 6i + -6i Combine like terms: 10 + -10 = 0 -10 + 2i + -1ixy + -2i2y + 4x = 0 + 6i + -6i -10 + 2i + -1ixy + -2i2y + 4x = 6i + -6i Combine like terms: 6i + -6i = 0 -10 + 2i + -1ixy + -2i2y + 4x = 0 The solution to this equation could not be determined.
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