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Simplifying (2x + 3)(3x + -5)(4x + -1) = 0 Reorder the terms: (3 + 2x)(3x + -5)(4x + -1) = 0 Reorder the terms: (3 + 2x)(-5 + 3x)(4x + -1) = 0 Reorder the terms: (3 + 2x)(-5 + 3x)(-1 + 4x) = 0 Multiply (3 + 2x) * (-5 + 3x) (3(-5 + 3x) + 2x * (-5 + 3x))(-1 + 4x) = 0 ((-5 * 3 + 3x * 3) + 2x * (-5 + 3x))(-1 + 4x) = 0 ((-15 + 9x) + 2x * (-5 + 3x))(-1 + 4x) = 0 (-15 + 9x + (-5 * 2x + 3x * 2x))(-1 + 4x) = 0 (-15 + 9x + (-10x + 6x2))(-1 + 4x) = 0 Combine like terms: 9x + -10x = -1x (-15 + -1x + 6x2)(-1 + 4x) = 0 Multiply (-15 + -1x + 6x2) * (-1 + 4x) (-15(-1 + 4x) + -1x * (-1 + 4x) + 6x2 * (-1 + 4x)) = 0 ((-1 * -15 + 4x * -15) + -1x * (-1 + 4x) + 6x2 * (-1 + 4x)) = 0 ((15 + -60x) + -1x * (-1 + 4x) + 6x2 * (-1 + 4x)) = 0 (15 + -60x + (-1 * -1x + 4x * -1x) + 6x2 * (-1 + 4x)) = 0 (15 + -60x + (1x + -4x2) + 6x2 * (-1 + 4x)) = 0 (15 + -60x + 1x + -4x2 + (-1 * 6x2 + 4x * 6x2)) = 0 (15 + -60x + 1x + -4x2 + (-6x2 + 24x3)) = 0 Combine like terms: -60x + 1x = -59x (15 + -59x + -4x2 + -6x2 + 24x3) = 0 Combine like terms: -4x2 + -6x2 = -10x2 (15 + -59x + -10x2 + 24x3) = 0 Solving 15 + -59x + -10x2 + 24x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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