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Simplifying (2x + -5)(3x + -1)(4x + 1) = 0 Reorder the terms: (-5 + 2x)(3x + -1)(4x + 1) = 0 Reorder the terms: (-5 + 2x)(-1 + 3x)(4x + 1) = 0 Reorder the terms: (-5 + 2x)(-1 + 3x)(1 + 4x) = 0 Multiply (-5 + 2x) * (-1 + 3x) (-5(-1 + 3x) + 2x * (-1 + 3x))(1 + 4x) = 0 ((-1 * -5 + 3x * -5) + 2x * (-1 + 3x))(1 + 4x) = 0 ((5 + -15x) + 2x * (-1 + 3x))(1 + 4x) = 0 (5 + -15x + (-1 * 2x + 3x * 2x))(1 + 4x) = 0 (5 + -15x + (-2x + 6x2))(1 + 4x) = 0 Combine like terms: -15x + -2x = -17x (5 + -17x + 6x2)(1 + 4x) = 0 Multiply (5 + -17x + 6x2) * (1 + 4x) (5(1 + 4x) + -17x * (1 + 4x) + 6x2 * (1 + 4x)) = 0 ((1 * 5 + 4x * 5) + -17x * (1 + 4x) + 6x2 * (1 + 4x)) = 0 ((5 + 20x) + -17x * (1 + 4x) + 6x2 * (1 + 4x)) = 0 (5 + 20x + (1 * -17x + 4x * -17x) + 6x2 * (1 + 4x)) = 0 (5 + 20x + (-17x + -68x2) + 6x2 * (1 + 4x)) = 0 (5 + 20x + -17x + -68x2 + (1 * 6x2 + 4x * 6x2)) = 0 (5 + 20x + -17x + -68x2 + (6x2 + 24x3)) = 0 Combine like terms: 20x + -17x = 3x (5 + 3x + -68x2 + 6x2 + 24x3) = 0 Combine like terms: -68x2 + 6x2 = -62x2 (5 + 3x + -62x2 + 24x3) = 0 Solving 5 + 3x + -62x2 + 24x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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