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Simplifying (1 + I)(2 + 3i)(3 + 7I) = 0 Multiply (1 + I) * (2 + 3i) (1(2 + 3i) + I(2 + 3i))(3 + 7I) = 0 ((2 * 1 + 3i * 1) + I(2 + 3i))(3 + 7I) = 0 ((2 + 3i) + I(2 + 3i))(3 + 7I) = 0 (2 + 3i + (2 * I + 3i * I))(3 + 7I) = 0 (2 + 3i + (2I + 3iI))(3 + 7I) = 0 Reorder the terms: (2 + 2I + 3i + 3iI)(3 + 7I) = 0 (2 + 2I + 3i + 3iI)(3 + 7I) = 0 Multiply (2 + 2I + 3i + 3iI) * (3 + 7I) (2(3 + 7I) + 2I * (3 + 7I) + 3i * (3 + 7I) + 3iI * (3 + 7I)) = 0 ((3 * 2 + 7I * 2) + 2I * (3 + 7I) + 3i * (3 + 7I) + 3iI * (3 + 7I)) = 0 ((6 + 14I) + 2I * (3 + 7I) + 3i * (3 + 7I) + 3iI * (3 + 7I)) = 0 (6 + 14I + (3 * 2I + 7I * 2I) + 3i * (3 + 7I) + 3iI * (3 + 7I)) = 0 (6 + 14I + (6I + 14I2) + 3i * (3 + 7I) + 3iI * (3 + 7I)) = 0 (6 + 14I + 6I + 14I2 + (3 * 3i + 7I * 3i) + 3iI * (3 + 7I)) = 0 (6 + 14I + 6I + 14I2 + (9i + 21iI) + 3iI * (3 + 7I)) = 0 (6 + 14I + 6I + 14I2 + 9i + 21iI + (3 * 3iI + 7I * 3iI)) = 0 (6 + 14I + 6I + 14I2 + 9i + 21iI + (9iI + 21iI2)) = 0 Combine like terms: 14I + 6I = 20I (6 + 20I + 14I2 + 9i + 21iI + 9iI + 21iI2) = 0 Combine like terms: 21iI + 9iI = 30iI (6 + 20I + 14I2 + 9i + 30iI + 21iI2) = 0 Solving 6 + 20I + 14I2 + 9i + 30iI + 21iI2 = 0 Solving for variable 'I'. The solution to this equation could not be determined.
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