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Simplifying (p + -3)(3p + 8)(2p + 5) = 0 Reorder the terms: (-3 + p)(3p + 8)(2p + 5) = 0 Reorder the terms: (-3 + p)(8 + 3p)(2p + 5) = 0 Reorder the terms: (-3 + p)(8 + 3p)(5 + 2p) = 0 Multiply (-3 + p) * (8 + 3p) (-3(8 + 3p) + p(8 + 3p))(5 + 2p) = 0 ((8 * -3 + 3p * -3) + p(8 + 3p))(5 + 2p) = 0 ((-24 + -9p) + p(8 + 3p))(5 + 2p) = 0 (-24 + -9p + (8 * p + 3p * p))(5 + 2p) = 0 (-24 + -9p + (8p + 3p2))(5 + 2p) = 0 Combine like terms: -9p + 8p = -1p (-24 + -1p + 3p2)(5 + 2p) = 0 Multiply (-24 + -1p + 3p2) * (5 + 2p) (-24(5 + 2p) + -1p * (5 + 2p) + 3p2 * (5 + 2p)) = 0 ((5 * -24 + 2p * -24) + -1p * (5 + 2p) + 3p2 * (5 + 2p)) = 0 ((-120 + -48p) + -1p * (5 + 2p) + 3p2 * (5 + 2p)) = 0 (-120 + -48p + (5 * -1p + 2p * -1p) + 3p2 * (5 + 2p)) = 0 (-120 + -48p + (-5p + -2p2) + 3p2 * (5 + 2p)) = 0 (-120 + -48p + -5p + -2p2 + (5 * 3p2 + 2p * 3p2)) = 0 (-120 + -48p + -5p + -2p2 + (15p2 + 6p3)) = 0 Combine like terms: -48p + -5p = -53p (-120 + -53p + -2p2 + 15p2 + 6p3) = 0 Combine like terms: -2p2 + 15p2 = 13p2 (-120 + -53p + 13p2 + 6p3) = 0 Solving -120 + -53p + 13p2 + 6p3 = 0 Solving for variable 'p'. The solution to this equation could not be determined.
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