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Simplifying (x + -1(3 + i))(x + -1(3 + i)) = 0 (x + (3 * -1 + i * -1))(x + -1(3 + i)) = 0 (x + (-3 + -1i))(x + -1(3 + i)) = 0 Reorder the terms: (-3 + -1i + x)(x + -1(3 + i)) = 0 (-3 + -1i + x)(x + (3 * -1 + i * -1)) = 0 (-3 + -1i + x)(x + (-3 + -1i)) = 0 Reorder the terms: (-3 + -1i + x)(-3 + -1i + x) = 0 Multiply (-3 + -1i + x) * (-3 + -1i + x) (-3(-3 + -1i + x) + -1i * (-3 + -1i + x) + x(-3 + -1i + x)) = 0 ((-3 * -3 + -1i * -3 + x * -3) + -1i * (-3 + -1i + x) + x(-3 + -1i + x)) = 0 ((9 + 3i + -3x) + -1i * (-3 + -1i + x) + x(-3 + -1i + x)) = 0 (9 + 3i + -3x + (-3 * -1i + -1i * -1i + x * -1i) + x(-3 + -1i + x)) = 0 Reorder the terms: (9 + 3i + -3x + (3i + -1ix + 1i2) + x(-3 + -1i + x)) = 0 (9 + 3i + -3x + (3i + -1ix + 1i2) + x(-3 + -1i + x)) = 0 (9 + 3i + -3x + 3i + -1ix + 1i2 + (-3 * x + -1i * x + x * x)) = 0 Reorder the terms: (9 + 3i + -3x + 3i + -1ix + 1i2 + (-1ix + -3x + x2)) = 0 (9 + 3i + -3x + 3i + -1ix + 1i2 + (-1ix + -3x + x2)) = 0 Reorder the terms: (9 + 3i + 3i + -1ix + -1ix + 1i2 + -3x + -3x + x2) = 0 Combine like terms: 3i + 3i = 6i (9 + 6i + -1ix + -1ix + 1i2 + -3x + -3x + x2) = 0 Combine like terms: -1ix + -1ix = -2ix (9 + 6i + -2ix + 1i2 + -3x + -3x + x2) = 0 Combine like terms: -3x + -3x = -6x (9 + 6i + -2ix + 1i2 + -6x + x2) = 0 Solving 9 + 6i + -2ix + 1i2 + -6x + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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