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