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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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