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Simplifying (x + 1) * x(x + 2) = 42 Reorder the terms: (1 + x) * x(x + 2) = 42 Reorder the terms: (1 + x) * x(2 + x) = 42 Reorder the terms for easier multiplication: x(1 + x)(2 + x) = 42 Multiply (1 + x) * (2 + x) x(1(2 + x) + x(2 + x)) = 42 x((2 * 1 + x * 1) + x(2 + x)) = 42 x((2 + 1x) + x(2 + x)) = 42 x(2 + 1x + (2 * x + x * x)) = 42 x(2 + 1x + (2x + x2)) = 42 Combine like terms: 1x + 2x = 3x x(2 + 3x + x2) = 42 (2 * x + 3x * x + x2 * x) = 42 (2x + 3x2 + x3) = 42 Solving 2x + 3x2 + x3 = 42 Solving for variable 'x'. Reorder the terms: -42 + 2x + 3x2 + x3 = 42 + -42 Combine like terms: 42 + -42 = 0 -42 + 2x + 3x2 + x3 = 0 The solution to this equation could not be determined.
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