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Simplifying (2x + 1)(x + 3)(x + 4) = 0 Reorder the terms: (1 + 2x)(x + 3)(x + 4) = 0 Reorder the terms: (1 + 2x)(3 + x)(x + 4) = 0 Reorder the terms: (1 + 2x)(3 + x)(4 + x) = 0 Multiply (1 + 2x) * (3 + x) (1(3 + x) + 2x * (3 + x))(4 + x) = 0 ((3 * 1 + x * 1) + 2x * (3 + x))(4 + x) = 0 ((3 + 1x) + 2x * (3 + x))(4 + x) = 0 (3 + 1x + (3 * 2x + x * 2x))(4 + x) = 0 (3 + 1x + (6x + 2x2))(4 + x) = 0 Combine like terms: 1x + 6x = 7x (3 + 7x + 2x2)(4 + x) = 0 Multiply (3 + 7x + 2x2) * (4 + x) (3(4 + x) + 7x * (4 + x) + 2x2 * (4 + x)) = 0 ((4 * 3 + x * 3) + 7x * (4 + x) + 2x2 * (4 + x)) = 0 ((12 + 3x) + 7x * (4 + x) + 2x2 * (4 + x)) = 0 (12 + 3x + (4 * 7x + x * 7x) + 2x2 * (4 + x)) = 0 (12 + 3x + (28x + 7x2) + 2x2 * (4 + x)) = 0 (12 + 3x + 28x + 7x2 + (4 * 2x2 + x * 2x2)) = 0 (12 + 3x + 28x + 7x2 + (8x2 + 2x3)) = 0 Combine like terms: 3x + 28x = 31x (12 + 31x + 7x2 + 8x2 + 2x3) = 0 Combine like terms: 7x2 + 8x2 = 15x2 (12 + 31x + 15x2 + 2x3) = 0 Solving 12 + 31x + 15x2 + 2x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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