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Simplifying (x + -5)(x + -5)(x + -5)(x + -5)(x + -5) = 0 Reorder the terms: (-5 + x)(x + -5)(x + -5)(x + -5)(x + -5) = 0 Reorder the terms: (-5 + x)(-5 + x)(x + -5)(x + -5)(x + -5) = 0 Reorder the terms: (-5 + x)(-5 + x)(-5 + x)(x + -5)(x + -5) = 0 Reorder the terms: (-5 + x)(-5 + x)(-5 + x)(-5 + x)(x + -5) = 0 Reorder the terms: (-5 + x)(-5 + x)(-5 + x)(-5 + x)(-5 + x) = 0 Multiply (-5 + x) * (-5 + x) (-5(-5 + x) + x(-5 + x))(-5 + x)(-5 + x)(-5 + x) = 0 ((-5 * -5 + x * -5) + x(-5 + x))(-5 + x)(-5 + x)(-5 + x) = 0 ((25 + -5x) + x(-5 + x))(-5 + x)(-5 + x)(-5 + x) = 0 (25 + -5x + (-5 * x + x * x))(-5 + x)(-5 + x)(-5 + x) = 0 (25 + -5x + (-5x + x2))(-5 + x)(-5 + x)(-5 + x) = 0 Combine like terms: -5x + -5x = -10x (25 + -10x + x2)(-5 + x)(-5 + x)(-5 + x) = 0 Multiply (25 + -10x + x2) * (-5 + x) (25(-5 + x) + -10x * (-5 + x) + x2(-5 + x))(-5 + x)(-5 + x) = 0 ((-5 * 25 + x * 25) + -10x * (-5 + x) + x2(-5 + x))(-5 + x)(-5 + x) = 0 ((-125 + 25x) + -10x * (-5 + x) + x2(-5 + x))(-5 + x)(-5 + x) = 0 (-125 + 25x + (-5 * -10x + x * -10x) + x2(-5 + x))(-5 + x)(-5 + x) = 0 (-125 + 25x + (50x + -10x2) + x2(-5 + x))(-5 + x)(-5 + x) = 0 (-125 + 25x + 50x + -10x2 + (-5 * x2 + x * x2))(-5 + x)(-5 + x) = 0 (-125 + 25x + 50x + -10x2 + (-5x2 + x3))(-5 + x)(-5 + x) = 0 Combine like terms: 25x + 50x = 75x (-125 + 75x + -10x2 + -5x2 + x3)(-5 + x)(-5 + x) = 0 Combine like terms: -10x2 + -5x2 = -15x2 (-125 + 75x + -15x2 + x3)(-5 + x)(-5 + x) = 0 Multiply (-125 + 75x + -15x2 + x3) * (-5 + x) (-125(-5 + x) + 75x * (-5 + x) + -15x2 * (-5 + x) + x3(-5 + x))(-5 + x) = 0 ((-5 * -125 + x * -125) + 75x * (-5 + x) + -15x2 * (-5 + x) + x3(-5 + x))(-5 + x) = 0 ((625 + -125x) + 75x * (-5 + x) + -15x2 * (-5 + x) + x3(-5 + x))(-5 + x) = 0 (625 + -125x + (-5 * 75x + x * 75x) + -15x2 * (-5 + x) + x3(-5 + x))(-5 + x) = 0 (625 + -125x + (-375x + 75x2) + -15x2 * (-5 + x) + x3(-5 + x))(-5 + x) = 0 (625 + -125x + -375x + 75x2 + (-5 * -15x2 + x * -15x2) + x3(-5 + x))(-5 + x) = 0 (625 + -125x + -375x + 75x2 + (75x2 + -15x3) + x3(-5 + x))(-5 + x) = 0 (625 + -125x + -375x + 75x2 + 75x2 + -15x3 + (-5 * x3 + x * x3))(-5 + x) = 0 (625 + -125x + -375x + 75x2 + 75x2 + -15x3 + (-5x3 + x4))(-5 + x) = 0 Combine like terms: -125x + -375x = -500x (625 + -500x + 75x2 + 75x2 + -15x3 + -5x3 + x4)(-5 + x) = 0 Combine like terms: 75x2 + 75x2 = 150x2 (625 + -500x + 150x2 + -15x3 + -5x3 + x4)(-5 + x) = 0 Combine like terms: -15x3 + -5x3 = -20x3 (625 + -500x + 150x2 + -20x3 + x4)(-5 + x) = 0 Multiply (625 + -500x + 150x2 + -20x3 + x4) * (-5 + x) (625(-5 + x) + -500x * (-5 + x) + 150x2 * (-5 + x) + -20x3 * (-5 + x) + x4(-5 + x)) = 0 ((-5 * 625 + x * 625) + -500x * (-5 + x) + 150x2 * (-5 + x) + -20x3 * (-5 + x) + x4(-5 + x)) = 0 ((-3125 + 625x) + -500x * (-5 + x) + 150x2 * (-5 + x) + -20x3 * (-5 + x) + x4(-5 + x)) = 0 (-3125 + 625x + (-5 * -500x + x * -500x) + 150x2 * (-5 + x) + -20x3 * (-5 + x) + x4(-5 + x)) = 0 (-3125 + 625x + (2500x + -500x2) + 150x2 * (-5 + x) + -20x3 * (-5 + x) + x4(-5 + x)) = 0 (-3125 + 625x + 2500x + -500x2 + (-5 * 150x2 + x * 150x2) + -20x3 * (-5 + x) + x4(-5 + x)) = 0 (-3125 + 625x + 2500x + -500x2 + (-750x2 + 150x3) + -20x3 * (-5 + x) + x4(-5 + x)) = 0 (-3125 + 625x + 2500x + -500x2 + -750x2 + 150x3 + (-5 * -20x3 + x * -20x3) + x4(-5 + x)) = 0 (-3125 + 625x + 2500x + -500x2 + -750x2 + 150x3 + (100x3 + -20x4) + x4(-5 + x)) = 0 (-3125 + 625x + 2500x + -500x2 + -750x2 + 150x3 + 100x3 + -20x4 + (-5 * x4 + x * x4)) = 0 (-3125 + 625x + 2500x + -500x2 + -750x2 + 150x3 + 100x3 + -20x4 + (-5x4 + x5)) = 0 Combine like terms: 625x + 2500x = 3125x (-3125 + 3125x + -500x2 + -750x2 + 150x3 + 100x3 + -20x4 + -5x4 + x5) = 0 Combine like terms: -500x2 + -750x2 = -1250x2 (-3125 + 3125x + -1250x2 + 150x3 + 100x3 + -20x4 + -5x4 + x5) = 0 Combine like terms: 150x3 + 100x3 = 250x3 (-3125 + 3125x + -1250x2 + 250x3 + -20x4 + -5x4 + x5) = 0 Combine like terms: -20x4 + -5x4 = -25x4 (-3125 + 3125x + -1250x2 + 250x3 + -25x4 + x5) = 0 Solving -3125 + 3125x + -1250x2 + 250x3 + -25x4 + x5 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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