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Simplifying (x + -4 + i)(x + 4 + -1i) = 0 Reorder the terms: (-4 + i + x)(x + 4 + -1i) = 0 Reorder the terms: (-4 + i + x)(4 + -1i + x) = 0 Multiply (-4 + i + x) * (4 + -1i + x) (-4(4 + -1i + x) + i(4 + -1i + x) + x(4 + -1i + x)) = 0 ((4 * -4 + -1i * -4 + x * -4) + i(4 + -1i + x) + x(4 + -1i + x)) = 0 ((-16 + 4i + -4x) + i(4 + -1i + x) + x(4 + -1i + x)) = 0 (-16 + 4i + -4x + (4 * i + -1i * i + x * i) + x(4 + -1i + x)) = 0 Reorder the terms: (-16 + 4i + -4x + (4i + ix + -1i2) + x(4 + -1i + x)) = 0 (-16 + 4i + -4x + (4i + ix + -1i2) + x(4 + -1i + x)) = 0 (-16 + 4i + -4x + 4i + ix + -1i2 + (4 * x + -1i * x + x * x)) = 0 Reorder the terms: (-16 + 4i + -4x + 4i + ix + -1i2 + (-1ix + 4x + x2)) = 0 (-16 + 4i + -4x + 4i + ix + -1i2 + (-1ix + 4x + x2)) = 0 Reorder the terms: (-16 + 4i + 4i + ix + -1ix + -1i2 + -4x + 4x + x2) = 0 Combine like terms: 4i + 4i = 8i (-16 + 8i + ix + -1ix + -1i2 + -4x + 4x + x2) = 0 Combine like terms: ix + -1ix = 0 (-16 + 8i + 0 + -1i2 + -4x + 4x + x2) = 0 (-16 + 8i + -1i2 + -4x + 4x + x2) = 0 Combine like terms: -4x + 4x = 0 (-16 + 8i + -1i2 + 0 + x2) = 0 (-16 + 8i + -1i2 + x2) = 0 Solving -16 + 8i + -1i2 + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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