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Simplifying (x + -1(4 + i))(x + -1(4 + i)) = 0 (x + (4 * -1 + i * -1))(x + -1(4 + i)) = 0 (x + (-4 + -1i))(x + -1(4 + i)) = 0 Reorder the terms: (-4 + -1i + x)(x + -1(4 + i)) = 0 (-4 + -1i + x)(x + (4 * -1 + i * -1)) = 0 (-4 + -1i + x)(x + (-4 + -1i)) = 0 Reorder the terms: (-4 + -1i + x)(-4 + -1i + x) = 0 Multiply (-4 + -1i + x) * (-4 + -1i + x) (-4(-4 + -1i + x) + -1i * (-4 + -1i + x) + x(-4 + -1i + x)) = 0 ((-4 * -4 + -1i * -4 + x * -4) + -1i * (-4 + -1i + x) + x(-4 + -1i + x)) = 0 ((16 + 4i + -4x) + -1i * (-4 + -1i + x) + x(-4 + -1i + x)) = 0 (16 + 4i + -4x + (-4 * -1i + -1i * -1i + x * -1i) + x(-4 + -1i + x)) = 0 Reorder the terms: (16 + 4i + -4x + (4i + -1ix + 1i2) + x(-4 + -1i + x)) = 0 (16 + 4i + -4x + (4i + -1ix + 1i2) + x(-4 + -1i + x)) = 0 (16 + 4i + -4x + 4i + -1ix + 1i2 + (-4 * x + -1i * x + x * x)) = 0 Reorder the terms: (16 + 4i + -4x + 4i + -1ix + 1i2 + (-1ix + -4x + x2)) = 0 (16 + 4i + -4x + 4i + -1ix + 1i2 + (-1ix + -4x + x2)) = 0 Reorder the terms: (16 + 4i + 4i + -1ix + -1ix + 1i2 + -4x + -4x + x2) = 0 Combine like terms: 4i + 4i = 8i (16 + 8i + -1ix + -1ix + 1i2 + -4x + -4x + x2) = 0 Combine like terms: -1ix + -1ix = -2ix (16 + 8i + -2ix + 1i2 + -4x + -4x + x2) = 0 Combine like terms: -4x + -4x = -8x (16 + 8i + -2ix + 1i2 + -8x + x2) = 0 Solving 16 + 8i + -2ix + 1i2 + -8x + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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