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Simplifying x(x + 1)(2x + 1) = 84 Reorder the terms: x(1 + x)(2x + 1) = 84 Reorder the terms: x(1 + x)(1 + 2x) = 84 Multiply (1 + x) * (1 + 2x) x(1(1 + 2x) + x(1 + 2x)) = 84 x((1 * 1 + 2x * 1) + x(1 + 2x)) = 84 x((1 + 2x) + x(1 + 2x)) = 84 x(1 + 2x + (1 * x + 2x * x)) = 84 x(1 + 2x + (1x + 2x2)) = 84 Combine like terms: 2x + 1x = 3x x(1 + 3x + 2x2) = 84 (1 * x + 3x * x + 2x2 * x) = 84 (1x + 3x2 + 2x3) = 84 Solving 1x + 3x2 + 2x3 = 84 Solving for variable 'x'. Reorder the terms: -84 + 1x + 3x2 + 2x3 = 84 + -84 Combine like terms: 84 + -84 = 0 -84 + 1x + 3x2 + 2x3 = 0 The solution to this equation could not be determined.
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