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Simplifying (x + -5)(3x + -1)(x2 + 5x + 25)(x2 + x + 2) = x6 + -126x3 + 125 Reorder the terms: (-5 + x)(3x + -1)(x2 + 5x + 25)(x2 + x + 2) = x6 + -126x3 + 125 Reorder the terms: (-5 + x)(-1 + 3x)(x2 + 5x + 25)(x2 + x + 2) = x6 + -126x3 + 125 Reorder the terms: (-5 + x)(-1 + 3x)(25 + 5x + x2)(x2 + x + 2) = x6 + -126x3 + 125 Reorder the terms: (-5 + x)(-1 + 3x)(25 + 5x + x2)(2 + x + x2) = x6 + -126x3 + 125 Multiply (-5 + x) * (-1 + 3x) (-5(-1 + 3x) + x(-1 + 3x))(25 + 5x + x2)(2 + x + x2) = x6 + -126x3 + 125 ((-1 * -5 + 3x * -5) + x(-1 + 3x))(25 + 5x + x2)(2 + x + x2) = x6 + -126x3 + 125 ((5 + -15x) + x(-1 + 3x))(25 + 5x + x2)(2 + x + x2) = x6 + -126x3 + 125 (5 + -15x + (-1 * x + 3x * x))(25 + 5x + x2)(2 + x + x2) = x6 + -126x3 + 125 (5 + -15x + (-1x + 3x2))(25 + 5x + x2)(2 + x + x2) = x6 + -126x3 + 125 Combine like terms: -15x + -1x = -16x (5 + -16x + 3x2)(25 + 5x + x2)(2 + x + x2) = x6 + -126x3 + 125 Multiply (5 + -16x + 3x2) * (25 + 5x + x2) (5(25 + 5x + x2) + -16x * (25 + 5x + x2) + 3x2 * (25 + 5x + x2))(2 + x + x2) = x6 + -126x3 + 125 ((25 * 5 + 5x * 5 + x2 * 5) + -16x * (25 + 5x + x2) + 3x2 * (25 + 5x + x2))(2 + x + x2) = x6 + -126x3 + 125 ((125 + 25x + 5x2) + -16x * (25 + 5x + x2) + 3x2 * (25 + 5x + x2))(2 + x + x2) = x6 + -126x3 + 125 (125 + 25x + 5x2 + (25 * -16x + 5x * -16x + x2 * -16x) + 3x2 * (25 + 5x + x2))(2 + x + x2) = x6 + -126x3 + 125 (125 + 25x + 5x2 + (-400x + -80x2 + -16x3) + 3x2 * (25 + 5x + x2))(2 + x + x2) = x6 + -126x3 + 125 (125 + 25x + 5x2 + -400x + -80x2 + -16x3 + (25 * 3x2 + 5x * 3x2 + x2 * 3x2))(2 + x + x2) = x6 + -126x3 + 125 (125 + 25x + 5x2 + -400x + -80x2 + -16x3 + (75x2 + 15x3 + 3x4))(2 + x + x2) = x6 + -126x3 + 125 Reorder the terms: (125 + 25x + -400x + 5x2 + -80x2 + 75x2 + -16x3 + 15x3 + 3x4)(2 + x + x2) = x6 + -126x3 + 125 Combine like terms: 25x + -400x = -375x (125 + -375x + 5x2 + -80x2 + 75x2 + -16x3 + 15x3 + 3x4)(2 + x + x2) = x6 + -126x3 + 125 Combine like terms: 5x2 + -80x2 = -75x2 (125 + -375x + -75x2 + 75x2 + -16x3 + 15x3 + 3x4)(2 + x + x2) = x6 + -126x3 + 125 Combine like terms: -75x2 + 75x2 = 0 (125 + -375x + 0 + -16x3 + 15x3 + 3x4)(2 + x + x2) = x6 + -126x3 + 125 (125 + -375x + -16x3 + 15x3 + 3x4)(2 + x + x2) = x6 + -126x3 + 125 Combine like terms: -16x3 + 15x3 = -1x3 (125 + -375x + -1x3 + 3x4)(2 + x + x2) = x6 + -126x3 + 125 Multiply (125 + -375x + -1x3 + 3x4) * (2 + x + x2) (125(2 + x + x2) + -375x * (2 + x + x2) + -1x3 * (2 + x + x2) + 3x4 * (2 + x + x2)) = x6 + -126x3 + 125 ((2 * 125 + x * 125 + x2 * 125) + -375x * (2 + x + x2) + -1x3 * (2 + x + x2) + 3x4 * (2 + x + x2)) = x6 + -126x3 + 125 ((250 + 125x + 125x2) + -375x * (2 + x + x2) + -1x3 * (2 + x + x2) + 3x4 * (2 + x + x2)) = x6 + -126x3 + 125 (250 + 125x + 125x2 + (2 * -375x + x * -375x + x2 * -375x) + -1x3 * (2 + x + x2) + 3x4 * (2 + x + x2)) = x6 + -126x3 + 125 (250 + 125x + 125x2 + (-750x + -375x2 + -375x3) + -1x3 * (2 + x + x2) + 3x4 * (2 + x + x2)) = x6 + -126x3 + 125 (250 + 125x + 125x2 + -750x + -375x2 + -375x3 + (2 * -1x3 + x * -1x3 + x2 * -1x3) + 3x4 * (2 + x + x2)) = x6 + -126x3 + 125 (250 + 125x + 125x2 + -750x + -375x2 + -375x3 + (-2x3 + -1x4 + -1x5) + 3x4 * (2 + x + x2)) = x6 + -126x3 + 125 (250 + 125x + 125x2 + -750x + -375x2 + -375x3 + -2x3 + -1x4 + -1x5 + (2 * 3x4 + x * 3x4 + x2 * 3x4)) = x6 + -126x3 + 125 (250 + 125x + 125x2 + -750x + -375x2 + -375x3 + -2x3 + -1x4 + -1x5 + (6x4 + 3x5 + 3x6)) = x6 + -126x3 + 125 Reorder the terms: (250 + 125x + -750x + 125x2 + -375x2 + -375x3 + -2x3 + -1x4 + 6x4 + -1x5 + 3x5 + 3x6) = x6 + -126x3 + 125 Combine like terms: 125x + -750x = -625x (250 + -625x + 125x2 + -375x2 + -375x3 + -2x3 + -1x4 + 6x4 + -1x5 + 3x5 + 3x6) = x6 + -126x3 + 125 Combine like terms: 125x2 + -375x2 = -250x2 (250 + -625x + -250x2 + -375x3 + -2x3 + -1x4 + 6x4 + -1x5 + 3x5 + 3x6) = x6 + -126x3 + 125 Combine like terms: -375x3 + -2x3 = -377x3 (250 + -625x + -250x2 + -377x3 + -1x4 + 6x4 + -1x5 + 3x5 + 3x6) = x6 + -126x3 + 125 Combine like terms: -1x4 + 6x4 = 5x4 (250 + -625x + -250x2 + -377x3 + 5x4 + -1x5 + 3x5 + 3x6) = x6 + -126x3 + 125 Combine like terms: -1x5 + 3x5 = 2x5 (250 + -625x + -250x2 + -377x3 + 5x4 + 2x5 + 3x6) = x6 + -126x3 + 125 Reorder the terms: 250 + -625x + -250x2 + -377x3 + 5x4 + 2x5 + 3x6 = 125 + -126x3 + x6 Solving 250 + -625x + -250x2 + -377x3 + 5x4 + 2x5 + 3x6 = 125 + -126x3 + x6 Solving for variable 'x'. Reorder the terms: 250 + -125 + -625x + -250x2 + -377x3 + 126x3 + 5x4 + 2x5 + 3x6 + -1x6 = 125 + -126x3 + x6 + -125 + 126x3 + -1x6 Combine like terms: 250 + -125 = 125 125 + -625x + -250x2 + -377x3 + 126x3 + 5x4 + 2x5 + 3x6 + -1x6 = 125 + -126x3 + x6 + -125 + 126x3 + -1x6 Combine like terms: -377x3 + 126x3 = -251x3 125 + -625x + -250x2 + -251x3 + 5x4 + 2x5 + 3x6 + -1x6 = 125 + -126x3 + x6 + -125 + 126x3 + -1x6 Combine like terms: 3x6 + -1x6 = 2x6 125 + -625x + -250x2 + -251x3 + 5x4 + 2x5 + 2x6 = 125 + -126x3 + x6 + -125 + 126x3 + -1x6 Reorder the terms: 125 + -625x + -250x2 + -251x3 + 5x4 + 2x5 + 2x6 = 125 + -125 + -126x3 + 126x3 + x6 + -1x6 Combine like terms: 125 + -125 = 0 125 + -625x + -250x2 + -251x3 + 5x4 + 2x5 + 2x6 = 0 + -126x3 + 126x3 + x6 + -1x6 125 + -625x + -250x2 + -251x3 + 5x4 + 2x5 + 2x6 = -126x3 + 126x3 + x6 + -1x6 Combine like terms: -126x3 + 126x3 = 0 125 + -625x + -250x2 + -251x3 + 5x4 + 2x5 + 2x6 = 0 + x6 + -1x6 125 + -625x + -250x2 + -251x3 + 5x4 + 2x5 + 2x6 = x6 + -1x6 Combine like terms: x6 + -1x6 = 0 125 + -625x + -250x2 + -251x3 + 5x4 + 2x5 + 2x6 = 0 The solution to this equation could not be determined.
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