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Simplifying (X + -1(-2 + 5i))(X + -1(-2 + -5i)) = 0 (X + (-2 * -1 + 5i * -1))(X + -1(-2 + -5i)) = 0 (X + (2 + -5i))(X + -1(-2 + -5i)) = 0 Reorder the terms: (2 + X + -5i)(X + -1(-2 + -5i)) = 0 (2 + X + -5i)(X + (-2 * -1 + -5i * -1)) = 0 (2 + X + -5i)(X + (2 + 5i)) = 0 Reorder the terms: (2 + X + -5i)(2 + X + 5i) = 0 Multiply (2 + X + -5i) * (2 + X + 5i) (2(2 + X + 5i) + X(2 + X + 5i) + -5i * (2 + X + 5i)) = 0 ((2 * 2 + X * 2 + 5i * 2) + X(2 + X + 5i) + -5i * (2 + X + 5i)) = 0 ((4 + 2X + 10i) + X(2 + X + 5i) + -5i * (2 + X + 5i)) = 0 (4 + 2X + 10i + (2 * X + X * X + 5i * X) + -5i * (2 + X + 5i)) = 0 (4 + 2X + 10i + (2X + X2 + 5iX) + -5i * (2 + X + 5i)) = 0 (4 + 2X + 10i + 2X + X2 + 5iX + (2 * -5i + X * -5i + 5i * -5i)) = 0 (4 + 2X + 10i + 2X + X2 + 5iX + (-10i + -5iX + -25i2)) = 0 Reorder the terms: (4 + 2X + 2X + X2 + 10i + -10i + 5iX + -5iX + -25i2) = 0 Combine like terms: 2X + 2X = 4X (4 + 4X + X2 + 10i + -10i + 5iX + -5iX + -25i2) = 0 Combine like terms: 10i + -10i = 0 (4 + 4X + X2 + 0 + 5iX + -5iX + -25i2) = 0 (4 + 4X + X2 + 5iX + -5iX + -25i2) = 0 Combine like terms: 5iX + -5iX = 0 (4 + 4X + X2 + 0 + -25i2) = 0 (4 + 4X + X2 + -25i2) = 0 Solving 4 + 4X + X2 + -25i2 = 0 Solving for variable 'X'. The solution to this equation could not be determined.
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