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Simplifying (4p + 3)(2p + -5)(p + 2) = 0 Reorder the terms: (3 + 4p)(2p + -5)(p + 2) = 0 Reorder the terms: (3 + 4p)(-5 + 2p)(p + 2) = 0 Reorder the terms: (3 + 4p)(-5 + 2p)(2 + p) = 0 Multiply (3 + 4p) * (-5 + 2p) (3(-5 + 2p) + 4p * (-5 + 2p))(2 + p) = 0 ((-5 * 3 + 2p * 3) + 4p * (-5 + 2p))(2 + p) = 0 ((-15 + 6p) + 4p * (-5 + 2p))(2 + p) = 0 (-15 + 6p + (-5 * 4p + 2p * 4p))(2 + p) = 0 (-15 + 6p + (-20p + 8p2))(2 + p) = 0 Combine like terms: 6p + -20p = -14p (-15 + -14p + 8p2)(2 + p) = 0 Multiply (-15 + -14p + 8p2) * (2 + p) (-15(2 + p) + -14p * (2 + p) + 8p2 * (2 + p)) = 0 ((2 * -15 + p * -15) + -14p * (2 + p) + 8p2 * (2 + p)) = 0 ((-30 + -15p) + -14p * (2 + p) + 8p2 * (2 + p)) = 0 (-30 + -15p + (2 * -14p + p * -14p) + 8p2 * (2 + p)) = 0 (-30 + -15p + (-28p + -14p2) + 8p2 * (2 + p)) = 0 (-30 + -15p + -28p + -14p2 + (2 * 8p2 + p * 8p2)) = 0 (-30 + -15p + -28p + -14p2 + (16p2 + 8p3)) = 0 Combine like terms: -15p + -28p = -43p (-30 + -43p + -14p2 + 16p2 + 8p3) = 0 Combine like terms: -14p2 + 16p2 = 2p2 (-30 + -43p + 2p2 + 8p3) = 0 Solving -30 + -43p + 2p2 + 8p3 = 0 Solving for variable 'p'. The solution to this equation could not be determined.
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