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