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Simplifying (x + 3 + 3i)(x + -3 + -3i)(x + 5) = 0 Reorder the terms: (3 + 3i + x)(x + -3 + -3i)(x + 5) = 0 Reorder the terms: (3 + 3i + x)(-3 + -3i + x)(x + 5) = 0 Reorder the terms: (3 + 3i + x)(-3 + -3i + x)(5 + x) = 0 Multiply (3 + 3i + x) * (-3 + -3i + x) (3(-3 + -3i + x) + 3i * (-3 + -3i + x) + x(-3 + -3i + x))(5 + x) = 0 ((-3 * 3 + -3i * 3 + x * 3) + 3i * (-3 + -3i + x) + x(-3 + -3i + x))(5 + x) = 0 ((-9 + -9i + 3x) + 3i * (-3 + -3i + x) + x(-3 + -3i + x))(5 + x) = 0 (-9 + -9i + 3x + (-3 * 3i + -3i * 3i + x * 3i) + x(-3 + -3i + x))(5 + x) = 0 Reorder the terms: (-9 + -9i + 3x + (-9i + 3ix + -9i2) + x(-3 + -3i + x))(5 + x) = 0 (-9 + -9i + 3x + (-9i + 3ix + -9i2) + x(-3 + -3i + x))(5 + x) = 0 (-9 + -9i + 3x + -9i + 3ix + -9i2 + (-3 * x + -3i * x + x * x))(5 + x) = 0 Reorder the terms: (-9 + -9i + 3x + -9i + 3ix + -9i2 + (-3ix + -3x + x2))(5 + x) = 0 (-9 + -9i + 3x + -9i + 3ix + -9i2 + (-3ix + -3x + x2))(5 + x) = 0 Reorder the terms: (-9 + -9i + -9i + 3ix + -3ix + -9i2 + 3x + -3x + x2)(5 + x) = 0 Combine like terms: -9i + -9i = -18i (-9 + -18i + 3ix + -3ix + -9i2 + 3x + -3x + x2)(5 + x) = 0 Combine like terms: 3ix + -3ix = 0 (-9 + -18i + 0 + -9i2 + 3x + -3x + x2)(5 + x) = 0 (-9 + -18i + -9i2 + 3x + -3x + x2)(5 + x) = 0 Combine like terms: 3x + -3x = 0 (-9 + -18i + -9i2 + 0 + x2)(5 + x) = 0 (-9 + -18i + -9i2 + x2)(5 + x) = 0 Multiply (-9 + -18i + -9i2 + x2) * (5 + x) (-9(5 + x) + -18i * (5 + x) + -9i2 * (5 + x) + x2(5 + x)) = 0 ((5 * -9 + x * -9) + -18i * (5 + x) + -9i2 * (5 + x) + x2(5 + x)) = 0 ((-45 + -9x) + -18i * (5 + x) + -9i2 * (5 + x) + x2(5 + x)) = 0 (-45 + -9x + (5 * -18i + x * -18i) + -9i2 * (5 + x) + x2(5 + x)) = 0 (-45 + -9x + (-90i + -18ix) + -9i2 * (5 + x) + x2(5 + x)) = 0 (-45 + -9x + -90i + -18ix + (5 * -9i2 + x * -9i2) + x2(5 + x)) = 0 (-45 + -9x + -90i + -18ix + (-45i2 + -9i2x) + x2(5 + x)) = 0 (-45 + -9x + -90i + -18ix + -45i2 + -9i2x + (5 * x2 + x * x2)) = 0 (-45 + -9x + -90i + -18ix + -45i2 + -9i2x + (5x2 + x3)) = 0 Reorder the terms: (-45 + -90i + -18ix + -45i2 + -9i2x + -9x + 5x2 + x3) = 0 (-45 + -90i + -18ix + -45i2 + -9i2x + -9x + 5x2 + x3) = 0 Solving -45 + -90i + -18ix + -45i2 + -9i2x + -9x + 5x2 + x3 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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