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