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Simplifying (2x + -1)(3x + 1)(4x + -1) = 0 Reorder the terms: (-1 + 2x)(3x + 1)(4x + -1) = 0 Reorder the terms: (-1 + 2x)(1 + 3x)(4x + -1) = 0 Reorder the terms: (-1 + 2x)(1 + 3x)(-1 + 4x) = 0 Multiply (-1 + 2x) * (1 + 3x) (-1(1 + 3x) + 2x * (1 + 3x))(-1 + 4x) = 0 ((1 * -1 + 3x * -1) + 2x * (1 + 3x))(-1 + 4x) = 0 ((-1 + -3x) + 2x * (1 + 3x))(-1 + 4x) = 0 (-1 + -3x + (1 * 2x + 3x * 2x))(-1 + 4x) = 0 (-1 + -3x + (2x + 6x2))(-1 + 4x) = 0 Combine like terms: -3x + 2x = -1x (-1 + -1x + 6x2)(-1 + 4x) = 0 Multiply (-1 + -1x + 6x2) * (-1 + 4x) (-1(-1 + 4x) + -1x * (-1 + 4x) + 6x2 * (-1 + 4x)) = 0 ((-1 * -1 + 4x * -1) + -1x * (-1 + 4x) + 6x2 * (-1 + 4x)) = 0 ((1 + -4x) + -1x * (-1 + 4x) + 6x2 * (-1 + 4x)) = 0 (1 + -4x + (-1 * -1x + 4x * -1x) + 6x2 * (-1 + 4x)) = 0 (1 + -4x + (1x + -4x2) + 6x2 * (-1 + 4x)) = 0 (1 + -4x + 1x + -4x2 + (-1 * 6x2 + 4x * 6x2)) = 0 (1 + -4x + 1x + -4x2 + (-6x2 + 24x3)) = 0 Combine like terms: -4x + 1x = -3x (1 + -3x + -4x2 + -6x2 + 24x3) = 0 Combine like terms: -4x2 + -6x2 = -10x2 (1 + -3x + -10x2 + 24x3) = 0 Solving 1 + -3x + -10x2 + 24x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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