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