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Simplifying (x2 + -5x + 4)(x2 + -5x + 4)(x2 + -5x + 4)(x2 + -5x + 4) = 0 Reorder the terms: (4 + -5x + x2)(x2 + -5x + 4)(x2 + -5x + 4)(x2 + -5x + 4) = 0 Reorder the terms: (4 + -5x + x2)(4 + -5x + x2)(x2 + -5x + 4)(x2 + -5x + 4) = 0 Reorder the terms: (4 + -5x + x2)(4 + -5x + x2)(4 + -5x + x2)(x2 + -5x + 4) = 0 Reorder the terms: (4 + -5x + x2)(4 + -5x + x2)(4 + -5x + x2)(4 + -5x + x2) = 0 Multiply (4 + -5x + x2) * (4 + -5x + x2) (4(4 + -5x + x2) + -5x * (4 + -5x + x2) + x2(4 + -5x + x2))(4 + -5x + x2)(4 + -5x + x2) = 0 ((4 * 4 + -5x * 4 + x2 * 4) + -5x * (4 + -5x + x2) + x2(4 + -5x + x2))(4 + -5x + x2)(4 + -5x + x2) = 0 ((16 + -20x + 4x2) + -5x * (4 + -5x + x2) + x2(4 + -5x + x2))(4 + -5x + x2)(4 + -5x + x2) = 0 (16 + -20x + 4x2 + (4 * -5x + -5x * -5x + x2 * -5x) + x2(4 + -5x + x2))(4 + -5x + x2)(4 + -5x + x2) = 0 (16 + -20x + 4x2 + (-20x + 25x2 + -5x3) + x2(4 + -5x + x2))(4 + -5x + x2)(4 + -5x + x2) = 0 (16 + -20x + 4x2 + -20x + 25x2 + -5x3 + (4 * x2 + -5x * x2 + x2 * x2))(4 + -5x + x2)(4 + -5x + x2) = 0 (16 + -20x + 4x2 + -20x + 25x2 + -5x3 + (4x2 + -5x3 + x4))(4 + -5x + x2)(4 + -5x + x2) = 0 Reorder the terms: (16 + -20x + -20x + 4x2 + 25x2 + 4x2 + -5x3 + -5x3 + x4)(4 + -5x + x2)(4 + -5x + x2) = 0 Combine like terms: -20x + -20x = -40x (16 + -40x + 4x2 + 25x2 + 4x2 + -5x3 + -5x3 + x4)(4 + -5x + x2)(4 + -5x + x2) = 0 Combine like terms: 4x2 + 25x2 = 29x2 (16 + -40x + 29x2 + 4x2 + -5x3 + -5x3 + x4)(4 + -5x + x2)(4 + -5x + x2) = 0 Combine like terms: 29x2 + 4x2 = 33x2 (16 + -40x + 33x2 + -5x3 + -5x3 + x4)(4 + -5x + x2)(4 + -5x + x2) = 0 Combine like terms: -5x3 + -5x3 = -10x3 (16 + -40x + 33x2 + -10x3 + x4)(4 + -5x + x2)(4 + -5x + x2) = 0 Multiply (16 + -40x + 33x2 + -10x3 + x4) * (4 + -5x + x2) (16(4 + -5x + x2) + -40x * (4 + -5x + x2) + 33x2 * (4 + -5x + x2) + -10x3 * (4 + -5x + x2) + x4(4 + -5x + x2))(4 + -5x + x2) = 0 ((4 * 16 + -5x * 16 + x2 * 16) + -40x * (4 + -5x + x2) + 33x2 * (4 + -5x + x2) + -10x3 * (4 + -5x + x2) + x4(4 + -5x + x2))(4 + -5x + x2) = 0 ((64 + -80x + 16x2) + -40x * (4 + -5x + x2) + 33x2 * (4 + -5x + x2) + -10x3 * (4 + -5x + x2) + x4(4 + -5x + x2))(4 + -5x + x2) = 0 (64 + -80x + 16x2 + (4 * -40x + -5x * -40x + x2 * -40x) + 33x2 * (4 + -5x + x2) + -10x3 * (4 + -5x + x2) + x4(4 + -5x + x2))(4 + -5x + x2) = 0 (64 + -80x + 16x2 + (-160x + 200x2 + -40x3) + 33x2 * (4 + -5x + x2) + -10x3 * (4 + -5x + x2) + x4(4 + -5x + x2))(4 + -5x + x2) = 0 (64 + -80x + 16x2 + -160x + 200x2 + -40x3 + (4 * 33x2 + -5x * 33x2 + x2 * 33x2) + -10x3 * (4 + -5x + x2) + x4(4 + -5x + x2))(4 + -5x + x2) = 0 (64 + -80x + 16x2 + -160x + 200x2 + -40x3 + (132x2 + -165x3 + 33x4) + -10x3 * (4 + -5x + x2) + x4(4 + -5x + x2))(4 + -5x + x2) = 0 (64 + -80x + 16x2 + -160x + 200x2 + -40x3 + 132x2 + -165x3 + 33x4 + (4 * -10x3 + -5x * -10x3 + x2 * -10x3) + x4(4 + -5x + x2))(4 + -5x + x2) = 0 (64 + -80x + 16x2 + -160x + 200x2 + -40x3 + 132x2 + -165x3 + 33x4 + (-40x3 + 50x4 + -10x5) + x4(4 + -5x + x2))(4 + -5x + x2) = 0 (64 + -80x + 16x2 + -160x + 200x2 + -40x3 + 132x2 + -165x3 + 33x4 + -40x3 + 50x4 + -10x5 + (4 * x4 + -5x * x4 + x2 * x4))(4 + -5x + x2) = 0 (64 + -80x + 16x2 + -160x + 200x2 + -40x3 + 132x2 + -165x3 + 33x4 + -40x3 + 50x4 + -10x5 + (4x4 + -5x5 + x6))(4 + -5x + x2) = 0 Reorder the terms: (64 + -80x + -160x + 16x2 + 200x2 + 132x2 + -40x3 + -165x3 + -40x3 + 33x4 + 50x4 + 4x4 + -10x5 + -5x5 + x6)(4 + -5x + x2) = 0 Combine like terms: -80x + -160x = -240x (64 + -240x + 16x2 + 200x2 + 132x2 + -40x3 + -165x3 + -40x3 + 33x4 + 50x4 + 4x4 + -10x5 + -5x5 + x6)(4 + -5x + x2) = 0 Combine like terms: 16x2 + 200x2 = 216x2 (64 + -240x + 216x2 + 132x2 + -40x3 + -165x3 + -40x3 + 33x4 + 50x4 + 4x4 + -10x5 + -5x5 + x6)(4 + -5x + x2) = 0 Combine like terms: 216x2 + 132x2 = 348x2 (64 + -240x + 348x2 + -40x3 + -165x3 + -40x3 + 33x4 + 50x4 + 4x4 + -10x5 + -5x5 + x6)(4 + -5x + x2) = 0 Combine like terms: -40x3 + -165x3 = -205x3 (64 + -240x + 348x2 + -205x3 + -40x3 + 33x4 + 50x4 + 4x4 + -10x5 + -5x5 + x6)(4 + -5x + x2) = 0 Combine like terms: -205x3 + -40x3 = -245x3 (64 + -240x + 348x2 + -245x3 + 33x4 + 50x4 + 4x4 + -10x5 + -5x5 + x6)(4 + -5x + x2) = 0 Combine like terms: 33x4 + 50x4 = 83x4 (64 + -240x + 348x2 + -245x3 + 83x4 + 4x4 + -10x5 + -5x5 + x6)(4 + -5x + x2) = 0 Combine like terms: 83x4 + 4x4 = 87x4 (64 + -240x + 348x2 + -245x3 + 87x4 + -10x5 + -5x5 + x6)(4 + -5x + x2) = 0 Combine like terms: -10x5 + -5x5 = -15x5 (64 + -240x + 348x2 + -245x3 + 87x4 + -15x5 + x6)(4 + -5x + x2) = 0 Multiply (64 + -240x + 348x2 + -245x3 + 87x4 + -15x5 + x6) * (4 + -5x + x2) (64(4 + -5x + x2) + -240x * (4 + -5x + x2) + 348x2 * (4 + -5x + x2) + -245x3 * (4 + -5x + x2) + 87x4 * (4 + -5x + x2) + -15x5 * (4 + -5x + x2) + x6(4 + -5x + x2)) = 0 ((4 * 64 + -5x * 64 + x2 * 64) + -240x * (4 + -5x + x2) + 348x2 * (4 + -5x + x2) + -245x3 * (4 + -5x + x2) + 87x4 * (4 + -5x + x2) + -15x5 * (4 + -5x + x2) + x6(4 + -5x + x2)) = 0 ((256 + -320x + 64x2) + -240x * (4 + -5x + x2) + 348x2 * (4 + -5x + x2) + -245x3 * (4 + -5x + x2) + 87x4 * (4 + -5x + x2) + -15x5 * (4 + -5x + x2) + x6(4 + -5x + x2)) = 0 (256 + -320x + 64x2 + (4 * -240x + -5x * -240x + x2 * -240x) + 348x2 * (4 + -5x + x2) + -245x3 * (4 + -5x + x2) + 87x4 * (4 + -5x + x2) + -15x5 * (4 + -5x + x2) + x6(4 + -5x + x2)) = 0 (256 + -320x + 64x2 + (-960x + 1200x2 + -240x3) + 348x2 * (4 + -5x + x2) + -245x3 * (4 + -5x + x2) + 87x4 * (4 + -5x + x2) + -15x5 * (4 + -5x + x2) + x6(4 + -5x + x2)) = 0 (256 + -320x + 64x2 + -960x + 1200x2 + -240x3 + (4 * 348x2 + -5x * 348x2 + x2 * 348x2) + -245x3 * (4 + -5x + x2) + 87x4 * (4 + -5x + x2) + -15x5 * (4 + -5x + x2) + x6(4 + -5x + x2)) = 0 (256 + -320x + 64x2 + -960x + 1200x2 + -240x3 + (1392x2 + -1740x3 + 348x4) + -245x3 * (4 + -5x + x2) + 87x4 * (4 + -5x + x2) + -15x5 * (4 + -5x + x2) + x6(4 + -5x + x2)) = 0 (256 + -320x + 64x2 + -960x + 1200x2 + -240x3 + 1392x2 + -1740x3 + 348x4 + (4 * -245x3 + -5x * -245x3 + x2 * -245x3) + 87x4 * (4 + -5x + x2) + -15x5 * (4 + -5x + x2) + x6(4 + -5x + x2)) = 0 (256 + -320x + 64x2 + -960x + 1200x2 + -240x3 + 1392x2 + -1740x3 + 348x4 + (-980x3 + 1225x4 + -245x5) + 87x4 * (4 + -5x + x2) + -15x5 * (4 + -5x + x2) + x6(4 + -5x + x2)) = 0 (256 + -320x + 64x2 + -960x + 1200x2 + -240x3 + 1392x2 + -1740x3 + 348x4 + -980x3 + 1225x4 + -245x5 + (4 * 87x4 + -5x * 87x4 + x2 * 87x4) + -15x5 * (4 + -5x + x2) + x6(4 + -5x + x2)) = 0 (256 + -320x + 64x2 + -960x + 1200x2 + -240x3 + 1392x2 + -1740x3 + 348x4 + -980x3 + 1225x4 + -245x5 + (348x4 + -435x5 + 87x6) + -15x5 * (4 + -5x + x2) + x6(4 + -5x + x2)) = 0 (256 + -320x + 64x2 + -960x + 1200x2 + -240x3 + 1392x2 + -1740x3 + 348x4 + -980x3 + 1225x4 + -245x5 + 348x4 + -435x5 + 87x6 + (4 * -15x5 + -5x * -15x5 + x2 * -15x5) + x6(4 + -5x + x2)) = 0 (256 + -320x + 64x2 + -960x + 1200x2 + -240x3 + 1392x2 + -1740x3 + 348x4 + -980x3 + 1225x4 + -245x5 + 348x4 + -435x5 + 87x6 + (-60x5 + 75x6 + -15x7) + x6(4 + -5x + x2)) = 0 (256 + -320x + 64x2 + -960x + 1200x2 + -240x3 + 1392x2 + -1740x3 + 348x4 + -980x3 + 1225x4 + -245x5 + 348x4 + -435x5 + 87x6 + -60x5 + 75x6 + -15x7 + (4 * x6 + -5x * x6 + x2 * x6)) = 0 (256 + -320x + 64x2 + -960x + 1200x2 + -240x3 + 1392x2 + -1740x3 + 348x4 + -980x3 + 1225x4 + -245x5 + 348x4 + -435x5 + 87x6 + -60x5 + 75x6 + -15x7 + (4x6 + -5x7 + x8)) = 0 Reorder the terms: (256 + -320x + -960x + 64x2 + 1200x2 + 1392x2 + -240x3 + -1740x3 + -980x3 + 348x4 + 1225x4 + 348x4 + -245x5 + -435x5 + -60x5 + 87x6 + 75x6 + 4x6 + -15x7 + -5x7 + x8) = 0 Combine like terms: -320x + -960x = -1280x (256 + -1280x + 64x2 + 1200x2 + 1392x2 + -240x3 + -1740x3 + -980x3 + 348x4 + 1225x4 + 348x4 + -245x5 + -435x5 + -60x5 + 87x6 + 75x6 + 4x6 + -15x7 + -5x7 + x8) = 0 Combine like terms: 64x2 + 1200x2 = 1264x2 (256 + -1280x + 1264x2 + 1392x2 + -240x3 + -1740x3 + -980x3 + 348x4 + 1225x4 + 348x4 + -245x5 + -435x5 + -60x5 + 87x6 + 75x6 + 4x6 + -15x7 + -5x7 + x8) = 0 Combine like terms: 1264x2 + 1392x2 = 2656x2 (256 + -1280x + 2656x2 + -240x3 + -1740x3 + -980x3 + 348x4 + 1225x4 + 348x4 + -245x5 + -435x5 + -60x5 + 87x6 + 75x6 + 4x6 + -15x7 + -5x7 + x8) = 0 Combine like terms: -240x3 + -1740x3 = -1980x3 (256 + -1280x + 2656x2 + -1980x3 + -980x3 + 348x4 + 1225x4 + 348x4 + -245x5 + -435x5 + -60x5 + 87x6 + 75x6 + 4x6 + -15x7 + -5x7 + x8) = 0 Combine like terms: -1980x3 + -980x3 = -2960x3 (256 + -1280x + 2656x2 + -2960x3 + 348x4 + 1225x4 + 348x4 + -245x5 + -435x5 + -60x5 + 87x6 + 75x6 + 4x6 + -15x7 + -5x7 + x8) = 0 Combine like terms: 348x4 + 1225x4 = 1573x4 (256 + -1280x + 2656x2 + -2960x3 + 1573x4 + 348x4 + -245x5 + -435x5 + -60x5 + 87x6 + 75x6 + 4x6 + -15x7 + -5x7 + x8) = 0 Combine like terms: 1573x4 + 348x4 = 1921x4 (256 + -1280x + 2656x2 + -2960x3 + 1921x4 + -245x5 + -435x5 + -60x5 + 87x6 + 75x6 + 4x6 + -15x7 + -5x7 + x8) = 0 Combine like terms: -245x5 + -435x5 = -680x5 (256 + -1280x + 2656x2 + -2960x3 + 1921x4 + -680x5 + -60x5 + 87x6 + 75x6 + 4x6 + -15x7 + -5x7 + x8) = 0 Combine like terms: -680x5 + -60x5 = -740x5 (256 + -1280x + 2656x2 + -2960x3 + 1921x4 + -740x5 + 87x6 + 75x6 + 4x6 + -15x7 + -5x7 + x8) = 0 Combine like terms: 87x6 + 75x6 = 162x6 (256 + -1280x + 2656x2 + -2960x3 + 1921x4 + -740x5 + 162x6 + 4x6 + -15x7 + -5x7 + x8) = 0 Combine like terms: 162x6 + 4x6 = 166x6 (256 + -1280x + 2656x2 + -2960x3 + 1921x4 + -740x5 + 166x6 + -15x7 + -5x7 + x8) = 0 Combine like terms: -15x7 + -5x7 = -20x7 (256 + -1280x + 2656x2 + -2960x3 + 1921x4 + -740x5 + 166x6 + -20x7 + x8) = 0 Solving 256 + -1280x + 2656x2 + -2960x3 + 1921x4 + -740x5 + 166x6 + -20x7 + x8 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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