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Simplifying (7p + -1)(49p2 + 7p + 1) = 0 Reorder the terms: (-1 + 7p)(49p2 + 7p + 1) = 0 Reorder the terms: (-1 + 7p)(1 + 7p + 49p2) = 0 Multiply (-1 + 7p) * (1 + 7p + 49p2) (-1(1 + 7p + 49p2) + 7p * (1 + 7p + 49p2)) = 0 ((1 * -1 + 7p * -1 + 49p2 * -1) + 7p * (1 + 7p + 49p2)) = 0 ((-1 + -7p + -49p2) + 7p * (1 + 7p + 49p2)) = 0 (-1 + -7p + -49p2 + (1 * 7p + 7p * 7p + 49p2 * 7p)) = 0 (-1 + -7p + -49p2 + (7p + 49p2 + 343p3)) = 0 Reorder the terms: (-1 + -7p + 7p + -49p2 + 49p2 + 343p3) = 0 Combine like terms: -7p + 7p = 0 (-1 + 0 + -49p2 + 49p2 + 343p3) = 0 (-1 + -49p2 + 49p2 + 343p3) = 0 Combine like terms: -49p2 + 49p2 = 0 (-1 + 0 + 343p3) = 0 (-1 + 343p3) = 0 Solving -1 + 343p3 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 343p3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 343p3 = 0 + 1 343p3 = 0 + 1 Combine like terms: 0 + 1 = 1 343p3 = 1 Divide each side by '343'. p3 = 0.002915451895 Simplifying p3 = 0.002915451895 Reorder the terms: -0.002915451895 + p3 = 0.002915451895 + -0.002915451895 Combine like terms: 0.002915451895 + -0.002915451895 = 0.000000000000 -0.002915451895 + p3 = 0.000000000000 The solution to this equation could not be determined.
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