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Simplifying (4 + -3i)(1 + -1I) + -1(3 + -1I)(3 + I) = 0 Multiply (4 + -3i) * (1 + -1I) (4(1 + -1I) + -3i * (1 + -1I)) + -1(3 + -1I)(3 + I) = 0 ((1 * 4 + -1I * 4) + -3i * (1 + -1I)) + -1(3 + -1I)(3 + I) = 0 ((4 + -4I) + -3i * (1 + -1I)) + -1(3 + -1I)(3 + I) = 0 (4 + -4I + (1 * -3i + -1I * -3i)) + -1(3 + -1I)(3 + I) = 0 (4 + -4I + (-3i + 3iI)) + -1(3 + -1I)(3 + I) = 0 (4 + -4I + -3i + 3iI) + -1(3 + -1I)(3 + I) = 0 Multiply (3 + -1I) * (3 + I) 4 + -4I + -3i + 3iI + -1(3(3 + I) + -1I * (3 + I)) = 0 4 + -4I + -3i + 3iI + -1((3 * 3 + I * 3) + -1I * (3 + I)) = 0 4 + -4I + -3i + 3iI + -1((9 + 3I) + -1I * (3 + I)) = 0 4 + -4I + -3i + 3iI + -1(9 + 3I + (3 * -1I + I * -1I)) = 0 4 + -4I + -3i + 3iI + -1(9 + 3I + (-3I + -1I2)) = 0 Combine like terms: 3I + -3I = 0 4 + -4I + -3i + 3iI + -1(9 + 0 + -1I2) = 0 4 + -4I + -3i + 3iI + -1(9 + -1I2) = 0 4 + -4I + -3i + 3iI + (9 * -1 + -1I2 * -1) = 0 4 + -4I + -3i + 3iI + (-9 + 1I2) = 0 Reorder the terms: 4 + -9 + -4I + 1I2 + -3i + 3iI = 0 Combine like terms: 4 + -9 = -5 -5 + -4I + 1I2 + -3i + 3iI = 0 Solving -5 + -4I + 1I2 + -3i + 3iI = 0 Solving for variable 'I'. The solution to this equation could not be determined.
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