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Simplifying (5p + -3)(4 + -1p)(8p + 1) = 0 Reorder the terms: (-3 + 5p)(4 + -1p)(8p + 1) = 0 Reorder the terms: (-3 + 5p)(4 + -1p)(1 + 8p) = 0 Multiply (-3 + 5p) * (4 + -1p) (-3(4 + -1p) + 5p * (4 + -1p))(1 + 8p) = 0 ((4 * -3 + -1p * -3) + 5p * (4 + -1p))(1 + 8p) = 0 ((-12 + 3p) + 5p * (4 + -1p))(1 + 8p) = 0 (-12 + 3p + (4 * 5p + -1p * 5p))(1 + 8p) = 0 (-12 + 3p + (20p + -5p2))(1 + 8p) = 0 Combine like terms: 3p + 20p = 23p (-12 + 23p + -5p2)(1 + 8p) = 0 Multiply (-12 + 23p + -5p2) * (1 + 8p) (-12(1 + 8p) + 23p * (1 + 8p) + -5p2 * (1 + 8p)) = 0 ((1 * -12 + 8p * -12) + 23p * (1 + 8p) + -5p2 * (1 + 8p)) = 0 ((-12 + -96p) + 23p * (1 + 8p) + -5p2 * (1 + 8p)) = 0 (-12 + -96p + (1 * 23p + 8p * 23p) + -5p2 * (1 + 8p)) = 0 (-12 + -96p + (23p + 184p2) + -5p2 * (1 + 8p)) = 0 (-12 + -96p + 23p + 184p2 + (1 * -5p2 + 8p * -5p2)) = 0 (-12 + -96p + 23p + 184p2 + (-5p2 + -40p3)) = 0 Combine like terms: -96p + 23p = -73p (-12 + -73p + 184p2 + -5p2 + -40p3) = 0 Combine like terms: 184p2 + -5p2 = 179p2 (-12 + -73p + 179p2 + -40p3) = 0 Solving -12 + -73p + 179p2 + -40p3 = 0 Solving for variable 'p'. The solution to this equation could not be determined.
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