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Simplifying (x + 8 + 2i)(x + -8 + -2i) = 0 Reorder the terms: (8 + 2i + x)(x + -8 + -2i) = 0 Reorder the terms: (8 + 2i + x)(-8 + -2i + x) = 0 Multiply (8 + 2i + x) * (-8 + -2i + x) (8(-8 + -2i + x) + 2i * (-8 + -2i + x) + x(-8 + -2i + x)) = 0 ((-8 * 8 + -2i * 8 + x * 8) + 2i * (-8 + -2i + x) + x(-8 + -2i + x)) = 0 ((-64 + -16i + 8x) + 2i * (-8 + -2i + x) + x(-8 + -2i + x)) = 0 (-64 + -16i + 8x + (-8 * 2i + -2i * 2i + x * 2i) + x(-8 + -2i + x)) = 0 Reorder the terms: (-64 + -16i + 8x + (-16i + 2ix + -4i2) + x(-8 + -2i + x)) = 0 (-64 + -16i + 8x + (-16i + 2ix + -4i2) + x(-8 + -2i + x)) = 0 (-64 + -16i + 8x + -16i + 2ix + -4i2 + (-8 * x + -2i * x + x * x)) = 0 Reorder the terms: (-64 + -16i + 8x + -16i + 2ix + -4i2 + (-2ix + -8x + x2)) = 0 (-64 + -16i + 8x + -16i + 2ix + -4i2 + (-2ix + -8x + x2)) = 0 Reorder the terms: (-64 + -16i + -16i + 2ix + -2ix + -4i2 + 8x + -8x + x2) = 0 Combine like terms: -16i + -16i = -32i (-64 + -32i + 2ix + -2ix + -4i2 + 8x + -8x + x2) = 0 Combine like terms: 2ix + -2ix = 0 (-64 + -32i + 0 + -4i2 + 8x + -8x + x2) = 0 (-64 + -32i + -4i2 + 8x + -8x + x2) = 0 Combine like terms: 8x + -8x = 0 (-64 + -32i + -4i2 + 0 + x2) = 0 (-64 + -32i + -4i2 + x2) = 0 Solving -64 + -32i + -4i2 + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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