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Simplifying (x + 4 + -3i)(x + -4 + 3i) = 0 Reorder the terms: (4 + -3i + x)(x + -4 + 3i) = 0 Reorder the terms: (4 + -3i + x)(-4 + 3i + x) = 0 Multiply (4 + -3i + x) * (-4 + 3i + x) (4(-4 + 3i + x) + -3i * (-4 + 3i + x) + x(-4 + 3i + x)) = 0 ((-4 * 4 + 3i * 4 + x * 4) + -3i * (-4 + 3i + x) + x(-4 + 3i + x)) = 0 ((-16 + 12i + 4x) + -3i * (-4 + 3i + x) + x(-4 + 3i + x)) = 0 (-16 + 12i + 4x + (-4 * -3i + 3i * -3i + x * -3i) + x(-4 + 3i + x)) = 0 Reorder the terms: (-16 + 12i + 4x + (12i + -3ix + -9i2) + x(-4 + 3i + x)) = 0 (-16 + 12i + 4x + (12i + -3ix + -9i2) + x(-4 + 3i + x)) = 0 (-16 + 12i + 4x + 12i + -3ix + -9i2 + (-4 * x + 3i * x + x * x)) = 0 Reorder the terms: (-16 + 12i + 4x + 12i + -3ix + -9i2 + (3ix + -4x + x2)) = 0 (-16 + 12i + 4x + 12i + -3ix + -9i2 + (3ix + -4x + x2)) = 0 Reorder the terms: (-16 + 12i + 12i + -3ix + 3ix + -9i2 + 4x + -4x + x2) = 0 Combine like terms: 12i + 12i = 24i (-16 + 24i + -3ix + 3ix + -9i2 + 4x + -4x + x2) = 0 Combine like terms: -3ix + 3ix = 0 (-16 + 24i + 0 + -9i2 + 4x + -4x + x2) = 0 (-16 + 24i + -9i2 + 4x + -4x + x2) = 0 Combine like terms: 4x + -4x = 0 (-16 + 24i + -9i2 + 0 + x2) = 0 (-16 + 24i + -9i2 + x2) = 0 Solving -16 + 24i + -9i2 + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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