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Simplifying (x + 9)(x + 9)(x + 9) = 1000 Reorder the terms: (9 + x)(x + 9)(x + 9) = 1000 Reorder the terms: (9 + x)(9 + x)(x + 9) = 1000 Reorder the terms: (9 + x)(9 + x)(9 + x) = 1000 Multiply (9 + x) * (9 + x) (9(9 + x) + x(9 + x))(9 + x) = 1000 ((9 * 9 + x * 9) + x(9 + x))(9 + x) = 1000 ((81 + 9x) + x(9 + x))(9 + x) = 1000 (81 + 9x + (9 * x + x * x))(9 + x) = 1000 (81 + 9x + (9x + x2))(9 + x) = 1000 Combine like terms: 9x + 9x = 18x (81 + 18x + x2)(9 + x) = 1000 Multiply (81 + 18x + x2) * (9 + x) (81(9 + x) + 18x * (9 + x) + x2(9 + x)) = 1000 ((9 * 81 + x * 81) + 18x * (9 + x) + x2(9 + x)) = 1000 ((729 + 81x) + 18x * (9 + x) + x2(9 + x)) = 1000 (729 + 81x + (9 * 18x + x * 18x) + x2(9 + x)) = 1000 (729 + 81x + (162x + 18x2) + x2(9 + x)) = 1000 (729 + 81x + 162x + 18x2 + (9 * x2 + x * x2)) = 1000 (729 + 81x + 162x + 18x2 + (9x2 + x3)) = 1000 Combine like terms: 81x + 162x = 243x (729 + 243x + 18x2 + 9x2 + x3) = 1000 Combine like terms: 18x2 + 9x2 = 27x2 (729 + 243x + 27x2 + x3) = 1000 Solving 729 + 243x + 27x2 + x3 = 1000 Solving for variable 'x'. Reorder the terms: 729 + -1000 + 243x + 27x2 + x3 = 1000 + -1000 Combine like terms: 729 + -1000 = -271 -271 + 243x + 27x2 + x3 = 1000 + -1000 Combine like terms: 1000 + -1000 = 0 -271 + 243x + 27x2 + x3 = 0 The solution to this equation could not be determined.
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