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Simplifying ((5 + x)(4 + x)(x + 3)) + -420 = 0 Reorder the terms: ((5 + x)(4 + x)(3 + x)) + -420 = 0 Multiply (5 + x) * (4 + x) ((5(4 + x) + x(4 + x))(3 + x)) + -420 = 0 (((4 * 5 + x * 5) + x(4 + x))(3 + x)) + -420 = 0 (((20 + 5x) + x(4 + x))(3 + x)) + -420 = 0 ((20 + 5x + (4 * x + x * x))(3 + x)) + -420 = 0 ((20 + 5x + (4x + x2))(3 + x)) + -420 = 0 Combine like terms: 5x + 4x = 9x ((20 + 9x + x2)(3 + x)) + -420 = 0 Multiply (20 + 9x + x2) * (3 + x) ((20(3 + x) + 9x * (3 + x) + x2(3 + x))) + -420 = 0 (((3 * 20 + x * 20) + 9x * (3 + x) + x2(3 + x))) + -420 = 0 (((60 + 20x) + 9x * (3 + x) + x2(3 + x))) + -420 = 0 ((60 + 20x + (3 * 9x + x * 9x) + x2(3 + x))) + -420 = 0 ((60 + 20x + (27x + 9x2) + x2(3 + x))) + -420 = 0 ((60 + 20x + 27x + 9x2 + (3 * x2 + x * x2))) + -420 = 0 ((60 + 20x + 27x + 9x2 + (3x2 + x3))) + -420 = 0 Combine like terms: 20x + 27x = 47x ((60 + 47x + 9x2 + 3x2 + x3)) + -420 = 0 Combine like terms: 9x2 + 3x2 = 12x2 ((60 + 47x + 12x2 + x3)) + -420 = 0 (60 + 47x + 12x2 + x3) + -420 = 0 Remove parenthesis around (60 + 47x + 12x2 + x3) 60 + 47x + 12x2 + x3 + -420 = 0 Reorder the terms: 60 + -420 + 47x + 12x2 + x3 = 0 Combine like terms: 60 + -420 = -360 -360 + 47x + 12x2 + x3 = 0 Solving -360 + 47x + 12x2 + x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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