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Simplifying 0 = (x + -5)(x + -5)(x + -19)(x + -95)(x + -50) Reorder the terms: 0 = (-5 + x)(x + -5)(x + -19)(x + -95)(x + -50) Reorder the terms: 0 = (-5 + x)(-5 + x)(x + -19)(x + -95)(x + -50) Reorder the terms: 0 = (-5 + x)(-5 + x)(-19 + x)(x + -95)(x + -50) Reorder the terms: 0 = (-5 + x)(-5 + x)(-19 + x)(-95 + x)(x + -50) Reorder the terms: 0 = (-5 + x)(-5 + x)(-19 + x)(-95 + x)(-50 + x) Multiply (-5 + x) * (-5 + x) 0 = (-5(-5 + x) + x(-5 + x))(-19 + x)(-95 + x)(-50 + x) 0 = ((-5 * -5 + x * -5) + x(-5 + x))(-19 + x)(-95 + x)(-50 + x) 0 = ((25 + -5x) + x(-5 + x))(-19 + x)(-95 + x)(-50 + x) 0 = (25 + -5x + (-5 * x + x * x))(-19 + x)(-95 + x)(-50 + x) 0 = (25 + -5x + (-5x + x2))(-19 + x)(-95 + x)(-50 + x) Combine like terms: -5x + -5x = -10x 0 = (25 + -10x + x2)(-19 + x)(-95 + x)(-50 + x) Multiply (25 + -10x + x2) * (-19 + x) 0 = (25(-19 + x) + -10x * (-19 + x) + x2(-19 + x))(-95 + x)(-50 + x) 0 = ((-19 * 25 + x * 25) + -10x * (-19 + x) + x2(-19 + x))(-95 + x)(-50 + x) 0 = ((-475 + 25x) + -10x * (-19 + x) + x2(-19 + x))(-95 + x)(-50 + x) 0 = (-475 + 25x + (-19 * -10x + x * -10x) + x2(-19 + x))(-95 + x)(-50 + x) 0 = (-475 + 25x + (190x + -10x2) + x2(-19 + x))(-95 + x)(-50 + x) 0 = (-475 + 25x + 190x + -10x2 + (-19 * x2 + x * x2))(-95 + x)(-50 + x) 0 = (-475 + 25x + 190x + -10x2 + (-19x2 + x3))(-95 + x)(-50 + x) Combine like terms: 25x + 190x = 215x 0 = (-475 + 215x + -10x2 + -19x2 + x3)(-95 + x)(-50 + x) Combine like terms: -10x2 + -19x2 = -29x2 0 = (-475 + 215x + -29x2 + x3)(-95 + x)(-50 + x) Multiply (-475 + 215x + -29x2 + x3) * (-95 + x) 0 = (-475(-95 + x) + 215x * (-95 + x) + -29x2 * (-95 + x) + x3(-95 + x))(-50 + x) 0 = ((-95 * -475 + x * -475) + 215x * (-95 + x) + -29x2 * (-95 + x) + x3(-95 + x))(-50 + x) 0 = ((45125 + -475x) + 215x * (-95 + x) + -29x2 * (-95 + x) + x3(-95 + x))(-50 + x) 0 = (45125 + -475x + (-95 * 215x + x * 215x) + -29x2 * (-95 + x) + x3(-95 + x))(-50 + x) 0 = (45125 + -475x + (-20425x + 215x2) + -29x2 * (-95 + x) + x3(-95 + x))(-50 + x) 0 = (45125 + -475x + -20425x + 215x2 + (-95 * -29x2 + x * -29x2) + x3(-95 + x))(-50 + x) 0 = (45125 + -475x + -20425x + 215x2 + (2755x2 + -29x3) + x3(-95 + x))(-50 + x) 0 = (45125 + -475x + -20425x + 215x2 + 2755x2 + -29x3 + (-95 * x3 + x * x3))(-50 + x) 0 = (45125 + -475x + -20425x + 215x2 + 2755x2 + -29x3 + (-95x3 + x4))(-50 + x) Combine like terms: -475x + -20425x = -20900x 0 = (45125 + -20900x + 215x2 + 2755x2 + -29x3 + -95x3 + x4)(-50 + x) Combine like terms: 215x2 + 2755x2 = 2970x2 0 = (45125 + -20900x + 2970x2 + -29x3 + -95x3 + x4)(-50 + x) Combine like terms: -29x3 + -95x3 = -124x3 0 = (45125 + -20900x + 2970x2 + -124x3 + x4)(-50 + x) Multiply (45125 + -20900x + 2970x2 + -124x3 + x4) * (-50 + x) 0 = (45125(-50 + x) + -20900x * (-50 + x) + 2970x2 * (-50 + x) + -124x3 * (-50 + x) + x4(-50 + x)) 0 = ((-50 * 45125 + x * 45125) + -20900x * (-50 + x) + 2970x2 * (-50 + x) + -124x3 * (-50 + x) + x4(-50 + x)) 0 = ((-2256250 + 45125x) + -20900x * (-50 + x) + 2970x2 * (-50 + x) + -124x3 * (-50 + x) + x4(-50 + x)) 0 = (-2256250 + 45125x + (-50 * -20900x + x * -20900x) + 2970x2 * (-50 + x) + -124x3 * (-50 + x) + x4(-50 + x)) 0 = (-2256250 + 45125x + (1045000x + -20900x2) + 2970x2 * (-50 + x) + -124x3 * (-50 + x) + x4(-50 + x)) 0 = (-2256250 + 45125x + 1045000x + -20900x2 + (-50 * 2970x2 + x * 2970x2) + -124x3 * (-50 + x) + x4(-50 + x)) 0 = (-2256250 + 45125x + 1045000x + -20900x2 + (-148500x2 + 2970x3) + -124x3 * (-50 + x) + x4(-50 + x)) 0 = (-2256250 + 45125x + 1045000x + -20900x2 + -148500x2 + 2970x3 + (-50 * -124x3 + x * -124x3) + x4(-50 + x)) 0 = (-2256250 + 45125x + 1045000x + -20900x2 + -148500x2 + 2970x3 + (6200x3 + -124x4) + x4(-50 + x)) 0 = (-2256250 + 45125x + 1045000x + -20900x2 + -148500x2 + 2970x3 + 6200x3 + -124x4 + (-50 * x4 + x * x4)) 0 = (-2256250 + 45125x + 1045000x + -20900x2 + -148500x2 + 2970x3 + 6200x3 + -124x4 + (-50x4 + x5)) Combine like terms: 45125x + 1045000x = 1090125x 0 = (-2256250 + 1090125x + -20900x2 + -148500x2 + 2970x3 + 6200x3 + -124x4 + -50x4 + x5) Combine like terms: -20900x2 + -148500x2 = -169400x2 0 = (-2256250 + 1090125x + -169400x2 + 2970x3 + 6200x3 + -124x4 + -50x4 + x5) Combine like terms: 2970x3 + 6200x3 = 9170x3 0 = (-2256250 + 1090125x + -169400x2 + 9170x3 + -124x4 + -50x4 + x5) Combine like terms: -124x4 + -50x4 = -174x4 0 = (-2256250 + 1090125x + -169400x2 + 9170x3 + -174x4 + x5) Solving 0 = -2256250 + 1090125x + -169400x2 + 9170x3 + -174x4 + x5 Solving for variable 'x'. Combine like terms: 0 + 2256250 = 2256250 2256250 + -1090125x + 169400x2 + -9170x3 + 174x4 + -1x5 = -2256250 + 1090125x + -169400x2 + 9170x3 + -174x4 + x5 + 2256250 + -1090125x + 169400x2 + -9170x3 + 174x4 + -1x5 Reorder the terms: 2256250 + -1090125x + 169400x2 + -9170x3 + 174x4 + -1x5 = -2256250 + 2256250 + 1090125x + -1090125x + -169400x2 + 169400x2 + 9170x3 + -9170x3 + -174x4 + 174x4 + x5 + -1x5 Combine like terms: -2256250 + 2256250 = 0 2256250 + -1090125x + 169400x2 + -9170x3 + 174x4 + -1x5 = 0 + 1090125x + -1090125x + -169400x2 + 169400x2 + 9170x3 + -9170x3 + -174x4 + 174x4 + x5 + -1x5 2256250 + -1090125x + 169400x2 + -9170x3 + 174x4 + -1x5 = 1090125x + -1090125x + -169400x2 + 169400x2 + 9170x3 + -9170x3 + -174x4 + 174x4 + x5 + -1x5 Combine like terms: 1090125x + -1090125x = 0 2256250 + -1090125x + 169400x2 + -9170x3 + 174x4 + -1x5 = 0 + -169400x2 + 169400x2 + 9170x3 + -9170x3 + -174x4 + 174x4 + x5 + -1x5 2256250 + -1090125x + 169400x2 + -9170x3 + 174x4 + -1x5 = -169400x2 + 169400x2 + 9170x3 + -9170x3 + -174x4 + 174x4 + x5 + -1x5 Combine like terms: -169400x2 + 169400x2 = 0 2256250 + -1090125x + 169400x2 + -9170x3 + 174x4 + -1x5 = 0 + 9170x3 + -9170x3 + -174x4 + 174x4 + x5 + -1x5 2256250 + -1090125x + 169400x2 + -9170x3 + 174x4 + -1x5 = 9170x3 + -9170x3 + -174x4 + 174x4 + x5 + -1x5 Combine like terms: 9170x3 + -9170x3 = 0 2256250 + -1090125x + 169400x2 + -9170x3 + 174x4 + -1x5 = 0 + -174x4 + 174x4 + x5 + -1x5 2256250 + -1090125x + 169400x2 + -9170x3 + 174x4 + -1x5 = -174x4 + 174x4 + x5 + -1x5 Combine like terms: -174x4 + 174x4 = 0 2256250 + -1090125x + 169400x2 + -9170x3 + 174x4 + -1x5 = 0 + x5 + -1x5 2256250 + -1090125x + 169400x2 + -9170x3 + 174x4 + -1x5 = x5 + -1x5 Combine like terms: x5 + -1x5 = 0 2256250 + -1090125x + 169400x2 + -9170x3 + 174x4 + -1x5 = 0 The solution to this equation could not be determined.
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