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