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Simplifying (x + 3)(x + 2)(x + 7) = 180 Reorder the terms: (3 + x)(x + 2)(x + 7) = 180 Reorder the terms: (3 + x)(2 + x)(x + 7) = 180 Reorder the terms: (3 + x)(2 + x)(7 + x) = 180 Multiply (3 + x) * (2 + x) (3(2 + x) + x(2 + x))(7 + x) = 180 ((2 * 3 + x * 3) + x(2 + x))(7 + x) = 180 ((6 + 3x) + x(2 + x))(7 + x) = 180 (6 + 3x + (2 * x + x * x))(7 + x) = 180 (6 + 3x + (2x + x2))(7 + x) = 180 Combine like terms: 3x + 2x = 5x (6 + 5x + x2)(7 + x) = 180 Multiply (6 + 5x + x2) * (7 + x) (6(7 + x) + 5x * (7 + x) + x2(7 + x)) = 180 ((7 * 6 + x * 6) + 5x * (7 + x) + x2(7 + x)) = 180 ((42 + 6x) + 5x * (7 + x) + x2(7 + x)) = 180 (42 + 6x + (7 * 5x + x * 5x) + x2(7 + x)) = 180 (42 + 6x + (35x + 5x2) + x2(7 + x)) = 180 (42 + 6x + 35x + 5x2 + (7 * x2 + x * x2)) = 180 (42 + 6x + 35x + 5x2 + (7x2 + x3)) = 180 Combine like terms: 6x + 35x = 41x (42 + 41x + 5x2 + 7x2 + x3) = 180 Combine like terms: 5x2 + 7x2 = 12x2 (42 + 41x + 12x2 + x3) = 180 Solving 42 + 41x + 12x2 + x3 = 180 Solving for variable 'x'. Reorder the terms: 42 + -180 + 41x + 12x2 + x3 = 180 + -180 Combine like terms: 42 + -180 = -138 -138 + 41x + 12x2 + x3 = 180 + -180 Combine like terms: 180 + -180 = 0 -138 + 41x + 12x2 + x3 = 0 The solution to this equation could not be determined.
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