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Simplifying (4 + -5x)(1 + -2x)(3x + 2) = 0 Reorder the terms: (4 + -5x)(1 + -2x)(2 + 3x) = 0 Multiply (4 + -5x) * (1 + -2x) (4(1 + -2x) + -5x * (1 + -2x))(2 + 3x) = 0 ((1 * 4 + -2x * 4) + -5x * (1 + -2x))(2 + 3x) = 0 ((4 + -8x) + -5x * (1 + -2x))(2 + 3x) = 0 (4 + -8x + (1 * -5x + -2x * -5x))(2 + 3x) = 0 (4 + -8x + (-5x + 10x2))(2 + 3x) = 0 Combine like terms: -8x + -5x = -13x (4 + -13x + 10x2)(2 + 3x) = 0 Multiply (4 + -13x + 10x2) * (2 + 3x) (4(2 + 3x) + -13x * (2 + 3x) + 10x2 * (2 + 3x)) = 0 ((2 * 4 + 3x * 4) + -13x * (2 + 3x) + 10x2 * (2 + 3x)) = 0 ((8 + 12x) + -13x * (2 + 3x) + 10x2 * (2 + 3x)) = 0 (8 + 12x + (2 * -13x + 3x * -13x) + 10x2 * (2 + 3x)) = 0 (8 + 12x + (-26x + -39x2) + 10x2 * (2 + 3x)) = 0 (8 + 12x + -26x + -39x2 + (2 * 10x2 + 3x * 10x2)) = 0 (8 + 12x + -26x + -39x2 + (20x2 + 30x3)) = 0 Combine like terms: 12x + -26x = -14x (8 + -14x + -39x2 + 20x2 + 30x3) = 0 Combine like terms: -39x2 + 20x2 = -19x2 (8 + -14x + -19x2 + 30x3) = 0 Solving 8 + -14x + -19x2 + 30x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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