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Simplifying a(x + -1)(3 + I)(3 + -1i) = -10 Reorder the terms: a(-1 + x)(3 + I)(3 + -1i) = -10 Multiply (-1 + x) * (3 + I) a(-1(3 + I) + x(3 + I))(3 + -1i) = -10 a((3 * -1 + I * -1) + x(3 + I))(3 + -1i) = -10 a((-3 + -1I) + x(3 + I))(3 + -1i) = -10 a(-3 + -1I + (3 * x + I * x))(3 + -1i) = -10 a(-3 + -1I + (3x + xI))(3 + -1i) = -10 a(-3 + -1I + 3x + xI)(3 + -1i) = -10 Multiply (-3 + -1I + 3x + xI) * (3 + -1i) a(-3(3 + -1i) + -1I * (3 + -1i) + 3x * (3 + -1i) + xI(3 + -1i)) = -10 a((3 * -3 + -1i * -3) + -1I * (3 + -1i) + 3x * (3 + -1i) + xI(3 + -1i)) = -10 a((-9 + 3i) + -1I * (3 + -1i) + 3x * (3 + -1i) + xI(3 + -1i)) = -10 a(-9 + 3i + (3 * -1I + -1i * -1I) + 3x * (3 + -1i) + xI(3 + -1i)) = -10 a(-9 + 3i + (-3I + 1iI) + 3x * (3 + -1i) + xI(3 + -1i)) = -10 a(-9 + 3i + -3I + 1iI + (3 * 3x + -1i * 3x) + xI(3 + -1i)) = -10 Reorder the terms: a(-9 + 3i + -3I + 1iI + (-3ix + 9x) + xI(3 + -1i)) = -10 a(-9 + 3i + -3I + 1iI + (-3ix + 9x) + xI(3 + -1i)) = -10 a(-9 + 3i + -3I + 1iI + -3ix + 9x + (3 * xI + -1i * xI)) = -10 Reorder the terms: a(-9 + 3i + -3I + 1iI + -3ix + 9x + (-1ixI + 3xI)) = -10 a(-9 + 3i + -3I + 1iI + -3ix + 9x + (-1ixI + 3xI)) = -10 Reorder the terms: a(-9 + -3I + 3i + 1iI + -3ix + -1ixI + 9x + 3xI) = -10 a(-9 + -3I + 3i + 1iI + -3ix + -1ixI + 9x + 3xI) = -10 (-9 * a + -3I * a + 3i * a + 1iI * a + -3ix * a + -1ixI * a + 9x * a + 3xI * a) = -10 (-9a + -3aI + 3ai + 1aiI + -3aix + -1aixI + 9ax + 3axI) = -10 Solving -9a + -3aI + 3ai + 1aiI + -3aix + -1aixI + 9ax + 3axI = -10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: 10 + -9a + -3aI + 3ai + 1aiI + -3aix + -1aixI + 9ax + 3axI = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -9a + -3aI + 3ai + 1aiI + -3aix + -1aixI + 9ax + 3axI = 0 The solution to this equation could not be determined.
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