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Simplifying (((2x + 1)(4x + 1)) * 0.5) * x = 114 Reorder the terms: (((1 + 2x)(4x + 1)) * 0.5) * x = 114 Reorder the terms: (((1 + 2x)(1 + 4x)) * 0.5) * x = 114 Multiply (1 + 2x) * (1 + 4x) (((1(1 + 4x) + 2x * (1 + 4x))) * 0.5) * x = 114 ((((1 * 1 + 4x * 1) + 2x * (1 + 4x))) * 0.5) * x = 114 ((((1 + 4x) + 2x * (1 + 4x))) * 0.5) * x = 114 (((1 + 4x + (1 * 2x + 4x * 2x))) * 0.5) * x = 114 (((1 + 4x + (2x + 8x2))) * 0.5) * x = 114 Combine like terms: 4x + 2x = 6x (((1 + 6x + 8x2)) * 0.5) * x = 114 Reorder the terms for easier multiplication: (0.5(1 + 6x + 8x2)) * x = 114 ((1 * 0.5 + 6x * 0.5 + 8x2 * 0.5)) * x = 114 ((0.5 + 3x + 4x2)) * x = 114 Reorder the terms for easier multiplication: x(0.5 + 3x + 4x2) = 114 (0.5 * x + 3x * x + 4x2 * x) = 114 (0.5x + 3x2 + 4x3) = 114 Solving 0.5x + 3x2 + 4x3 = 114 Solving for variable 'x'. Reorder the terms: -114 + 0.5x + 3x2 + 4x3 = 114 + -114 Combine like terms: 114 + -114 = 0 -114 + 0.5x + 3x2 + 4x3 = 0 The solution to this equation could not be determined.
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