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Simplifying (2x + 1)(4x + 1)(x) = 114 Reorder the terms: (1 + 2x)(4x + 1)(x) = 114 Reorder the terms: (1 + 2x)(1 + 4x)(x) = 114 Reorder the terms for easier multiplication: x(1 + 2x)(1 + 4x) = 114 Multiply (1 + 2x) * (1 + 4x) x(1(1 + 4x) + 2x * (1 + 4x)) = 114 x((1 * 1 + 4x * 1) + 2x * (1 + 4x)) = 114 x((1 + 4x) + 2x * (1 + 4x)) = 114 x(1 + 4x + (1 * 2x + 4x * 2x)) = 114 x(1 + 4x + (2x + 8x2)) = 114 Combine like terms: 4x + 2x = 6x x(1 + 6x + 8x2) = 114 (1 * x + 6x * x + 8x2 * x) = 114 (1x + 6x2 + 8x3) = 114 Solving 1x + 6x2 + 8x3 = 114 Solving for variable 'x'. Reorder the terms: -114 + 1x + 6x2 + 8x3 = 114 + -114 Combine like terms: 114 + -114 = 0 -114 + 1x + 6x2 + 8x3 = 0 The solution to this equation could not be determined.
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