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Simplifying (x + -3i + -4)(x + 3i + 4) = 0 Reorder the terms: (-4 + -3i + x)(x + 3i + 4) = 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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