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