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Simplifying (8p + -1)(64p2 + 8p + 1) = 0 Reorder the terms: (-1 + 8p)(64p2 + 8p + 1) = 0 Reorder the terms: (-1 + 8p)(1 + 8p + 64p2) = 0 Multiply (-1 + 8p) * (1 + 8p + 64p2) (-1(1 + 8p + 64p2) + 8p * (1 + 8p + 64p2)) = 0 ((1 * -1 + 8p * -1 + 64p2 * -1) + 8p * (1 + 8p + 64p2)) = 0 ((-1 + -8p + -64p2) + 8p * (1 + 8p + 64p2)) = 0 (-1 + -8p + -64p2 + (1 * 8p + 8p * 8p + 64p2 * 8p)) = 0 (-1 + -8p + -64p2 + (8p + 64p2 + 512p3)) = 0 Reorder the terms: (-1 + -8p + 8p + -64p2 + 64p2 + 512p3) = 0 Combine like terms: -8p + 8p = 0 (-1 + 0 + -64p2 + 64p2 + 512p3) = 0 (-1 + -64p2 + 64p2 + 512p3) = 0 Combine like terms: -64p2 + 64p2 = 0 (-1 + 0 + 512p3) = 0 (-1 + 512p3) = 0 Solving -1 + 512p3 = 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 + 512p3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 512p3 = 0 + 1 512p3 = 0 + 1 Combine like terms: 0 + 1 = 1 512p3 = 1 Divide each side by '512'. p3 = 0.001953125 Simplifying p3 = 0.001953125 Reorder the terms: -0.001953125 + p3 = 0.001953125 + -0.001953125 Combine like terms: 0.001953125 + -0.001953125 = 0.000000000 -0.001953125 + p3 = 0.000000000 The solution to this equation could not be determined.
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