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Simplifying (2x + 1)(5x + -3)(6x + 7) = 0 Reorder the terms: (1 + 2x)(5x + -3)(6x + 7) = 0 Reorder the terms: (1 + 2x)(-3 + 5x)(6x + 7) = 0 Reorder the terms: (1 + 2x)(-3 + 5x)(7 + 6x) = 0 Multiply (1 + 2x) * (-3 + 5x) (1(-3 + 5x) + 2x * (-3 + 5x))(7 + 6x) = 0 ((-3 * 1 + 5x * 1) + 2x * (-3 + 5x))(7 + 6x) = 0 ((-3 + 5x) + 2x * (-3 + 5x))(7 + 6x) = 0 (-3 + 5x + (-3 * 2x + 5x * 2x))(7 + 6x) = 0 (-3 + 5x + (-6x + 10x2))(7 + 6x) = 0 Combine like terms: 5x + -6x = -1x (-3 + -1x + 10x2)(7 + 6x) = 0 Multiply (-3 + -1x + 10x2) * (7 + 6x) (-3(7 + 6x) + -1x * (7 + 6x) + 10x2 * (7 + 6x)) = 0 ((7 * -3 + 6x * -3) + -1x * (7 + 6x) + 10x2 * (7 + 6x)) = 0 ((-21 + -18x) + -1x * (7 + 6x) + 10x2 * (7 + 6x)) = 0 (-21 + -18x + (7 * -1x + 6x * -1x) + 10x2 * (7 + 6x)) = 0 (-21 + -18x + (-7x + -6x2) + 10x2 * (7 + 6x)) = 0 (-21 + -18x + -7x + -6x2 + (7 * 10x2 + 6x * 10x2)) = 0 (-21 + -18x + -7x + -6x2 + (70x2 + 60x3)) = 0 Combine like terms: -18x + -7x = -25x (-21 + -25x + -6x2 + 70x2 + 60x3) = 0 Combine like terms: -6x2 + 70x2 = 64x2 (-21 + -25x + 64x2 + 60x3) = 0 Solving -21 + -25x + 64x2 + 60x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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