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Simplifying (9p + -1)(81p2 + 9p + 1) = 0 Reorder the terms: (-1 + 9p)(81p2 + 9p + 1) = 0 Reorder the terms: (-1 + 9p)(1 + 9p + 81p2) = 0 Multiply (-1 + 9p) * (1 + 9p + 81p2) (-1(1 + 9p + 81p2) + 9p * (1 + 9p + 81p2)) = 0 ((1 * -1 + 9p * -1 + 81p2 * -1) + 9p * (1 + 9p + 81p2)) = 0 ((-1 + -9p + -81p2) + 9p * (1 + 9p + 81p2)) = 0 (-1 + -9p + -81p2 + (1 * 9p + 9p * 9p + 81p2 * 9p)) = 0 (-1 + -9p + -81p2 + (9p + 81p2 + 729p3)) = 0 Reorder the terms: (-1 + -9p + 9p + -81p2 + 81p2 + 729p3) = 0 Combine like terms: -9p + 9p = 0 (-1 + 0 + -81p2 + 81p2 + 729p3) = 0 (-1 + -81p2 + 81p2 + 729p3) = 0 Combine like terms: -81p2 + 81p2 = 0 (-1 + 0 + 729p3) = 0 (-1 + 729p3) = 0 Solving -1 + 729p3 = 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 + 729p3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 729p3 = 0 + 1 729p3 = 0 + 1 Combine like terms: 0 + 1 = 1 729p3 = 1 Divide each side by '729'. p3 = 0.001371742112 Simplifying p3 = 0.001371742112 Reorder the terms: -0.001371742112 + p3 = 0.001371742112 + -0.001371742112 Combine like terms: 0.001371742112 + -0.001371742112 = 0.000000000000 -0.001371742112 + p3 = 0.000000000000 The solution to this equation could not be determined.
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