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Simplifying (10 + x)(10 + x)(5 + x) = 1008 Multiply (10 + x) * (10 + x) (10(10 + x) + x(10 + x))(5 + x) = 1008 ((10 * 10 + x * 10) + x(10 + x))(5 + x) = 1008 ((100 + 10x) + x(10 + x))(5 + x) = 1008 (100 + 10x + (10 * x + x * x))(5 + x) = 1008 (100 + 10x + (10x + x2))(5 + x) = 1008 Combine like terms: 10x + 10x = 20x (100 + 20x + x2)(5 + x) = 1008 Multiply (100 + 20x + x2) * (5 + x) (100(5 + x) + 20x * (5 + x) + x2(5 + x)) = 1008 ((5 * 100 + x * 100) + 20x * (5 + x) + x2(5 + x)) = 1008 ((500 + 100x) + 20x * (5 + x) + x2(5 + x)) = 1008 (500 + 100x + (5 * 20x + x * 20x) + x2(5 + x)) = 1008 (500 + 100x + (100x + 20x2) + x2(5 + x)) = 1008 (500 + 100x + 100x + 20x2 + (5 * x2 + x * x2)) = 1008 (500 + 100x + 100x + 20x2 + (5x2 + x3)) = 1008 Combine like terms: 100x + 100x = 200x (500 + 200x + 20x2 + 5x2 + x3) = 1008 Combine like terms: 20x2 + 5x2 = 25x2 (500 + 200x + 25x2 + x3) = 1008 Solving 500 + 200x + 25x2 + x3 = 1008 Solving for variable 'x'. Reorder the terms: 500 + -1008 + 200x + 25x2 + x3 = 1008 + -1008 Combine like terms: 500 + -1008 = -508 -508 + 200x + 25x2 + x3 = 1008 + -1008 Combine like terms: 1008 + -1008 = 0 -508 + 200x + 25x2 + x3 = 0 The solution to this equation could not be determined.
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