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Simplifying (x + 5 + 2i)(x + -5 + 2i) = 0 Reorder the terms: (5 + 2i + x)(x + -5 + 2i) = 0 Reorder the terms: (5 + 2i + x)(-5 + 2i + x) = 0 Multiply (5 + 2i + x) * (-5 + 2i + x) (5(-5 + 2i + x) + 2i * (-5 + 2i + x) + x(-5 + 2i + x)) = 0 ((-5 * 5 + 2i * 5 + x * 5) + 2i * (-5 + 2i + x) + x(-5 + 2i + x)) = 0 ((-25 + 10i + 5x) + 2i * (-5 + 2i + x) + x(-5 + 2i + x)) = 0 (-25 + 10i + 5x + (-5 * 2i + 2i * 2i + x * 2i) + x(-5 + 2i + x)) = 0 Reorder the terms: (-25 + 10i + 5x + (-10i + 2ix + 4i2) + x(-5 + 2i + x)) = 0 (-25 + 10i + 5x + (-10i + 2ix + 4i2) + x(-5 + 2i + x)) = 0 (-25 + 10i + 5x + -10i + 2ix + 4i2 + (-5 * x + 2i * x + x * x)) = 0 Reorder the terms: (-25 + 10i + 5x + -10i + 2ix + 4i2 + (2ix + -5x + x2)) = 0 (-25 + 10i + 5x + -10i + 2ix + 4i2 + (2ix + -5x + x2)) = 0 Reorder the terms: (-25 + 10i + -10i + 2ix + 2ix + 4i2 + 5x + -5x + x2) = 0 Combine like terms: 10i + -10i = 0 (-25 + 0 + 2ix + 2ix + 4i2 + 5x + -5x + x2) = 0 (-25 + 2ix + 2ix + 4i2 + 5x + -5x + x2) = 0 Combine like terms: 2ix + 2ix = 4ix (-25 + 4ix + 4i2 + 5x + -5x + x2) = 0 Combine like terms: 5x + -5x = 0 (-25 + 4ix + 4i2 + 0 + x2) = 0 (-25 + 4ix + 4i2 + x2) = 0 Solving -25 + 4ix + 4i2 + x2 = 0 Solving for variable 'i'. The solution to this equation could not be determined.
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