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