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Simplifying (x + -6 + 2i)(x + 6 + 2i) = 0 Reorder the terms: (-6 + 2i + x)(x + 6 + 2i) = 0 Reorder the terms: (-6 + 2i + x)(6 + 2i + x) = 0 Multiply (-6 + 2i + x) * (6 + 2i + x) (-6(6 + 2i + x) + 2i * (6 + 2i + x) + x(6 + 2i + x)) = 0 ((6 * -6 + 2i * -6 + x * -6) + 2i * (6 + 2i + x) + x(6 + 2i + x)) = 0 ((-36 + -12i + -6x) + 2i * (6 + 2i + x) + x(6 + 2i + x)) = 0 (-36 + -12i + -6x + (6 * 2i + 2i * 2i + x * 2i) + x(6 + 2i + x)) = 0 Reorder the terms: (-36 + -12i + -6x + (12i + 2ix + 4i2) + x(6 + 2i + x)) = 0 (-36 + -12i + -6x + (12i + 2ix + 4i2) + x(6 + 2i + x)) = 0 (-36 + -12i + -6x + 12i + 2ix + 4i2 + (6 * x + 2i * x + x * x)) = 0 Reorder the terms: (-36 + -12i + -6x + 12i + 2ix + 4i2 + (2ix + 6x + x2)) = 0 (-36 + -12i + -6x + 12i + 2ix + 4i2 + (2ix + 6x + x2)) = 0 Reorder the terms: (-36 + -12i + 12i + 2ix + 2ix + 4i2 + -6x + 6x + x2) = 0 Combine like terms: -12i + 12i = 0 (-36 + 0 + 2ix + 2ix + 4i2 + -6x + 6x + x2) = 0 (-36 + 2ix + 2ix + 4i2 + -6x + 6x + x2) = 0 Combine like terms: 2ix + 2ix = 4ix (-36 + 4ix + 4i2 + -6x + 6x + x2) = 0 Combine like terms: -6x + 6x = 0 (-36 + 4ix + 4i2 + 0 + x2) = 0 (-36 + 4ix + 4i2 + x2) = 0 Solving -36 + 4ix + 4i2 + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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