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Simplifying (3x + 2)(x + -5)(2x + 7) = 0 Reorder the terms: (2 + 3x)(x + -5)(2x + 7) = 0 Reorder the terms: (2 + 3x)(-5 + x)(2x + 7) = 0 Reorder the terms: (2 + 3x)(-5 + x)(7 + 2x) = 0 Multiply (2 + 3x) * (-5 + x) (2(-5 + x) + 3x * (-5 + x))(7 + 2x) = 0 ((-5 * 2 + x * 2) + 3x * (-5 + x))(7 + 2x) = 0 ((-10 + 2x) + 3x * (-5 + x))(7 + 2x) = 0 (-10 + 2x + (-5 * 3x + x * 3x))(7 + 2x) = 0 (-10 + 2x + (-15x + 3x2))(7 + 2x) = 0 Combine like terms: 2x + -15x = -13x (-10 + -13x + 3x2)(7 + 2x) = 0 Multiply (-10 + -13x + 3x2) * (7 + 2x) (-10(7 + 2x) + -13x * (7 + 2x) + 3x2 * (7 + 2x)) = 0 ((7 * -10 + 2x * -10) + -13x * (7 + 2x) + 3x2 * (7 + 2x)) = 0 ((-70 + -20x) + -13x * (7 + 2x) + 3x2 * (7 + 2x)) = 0 (-70 + -20x + (7 * -13x + 2x * -13x) + 3x2 * (7 + 2x)) = 0 (-70 + -20x + (-91x + -26x2) + 3x2 * (7 + 2x)) = 0 (-70 + -20x + -91x + -26x2 + (7 * 3x2 + 2x * 3x2)) = 0 (-70 + -20x + -91x + -26x2 + (21x2 + 6x3)) = 0 Combine like terms: -20x + -91x = -111x (-70 + -111x + -26x2 + 21x2 + 6x3) = 0 Combine like terms: -26x2 + 21x2 = -5x2 (-70 + -111x + -5x2 + 6x3) = 0 Solving -70 + -111x + -5x2 + 6x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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