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Simplifying (6p + -1)(36p2 + 6p + 1) = 0 Reorder the terms: (-1 + 6p)(36p2 + 6p + 1) = 0 Reorder the terms: (-1 + 6p)(1 + 6p + 36p2) = 0 Multiply (-1 + 6p) * (1 + 6p + 36p2) (-1(1 + 6p + 36p2) + 6p * (1 + 6p + 36p2)) = 0 ((1 * -1 + 6p * -1 + 36p2 * -1) + 6p * (1 + 6p + 36p2)) = 0 ((-1 + -6p + -36p2) + 6p * (1 + 6p + 36p2)) = 0 (-1 + -6p + -36p2 + (1 * 6p + 6p * 6p + 36p2 * 6p)) = 0 (-1 + -6p + -36p2 + (6p + 36p2 + 216p3)) = 0 Reorder the terms: (-1 + -6p + 6p + -36p2 + 36p2 + 216p3) = 0 Combine like terms: -6p + 6p = 0 (-1 + 0 + -36p2 + 36p2 + 216p3) = 0 (-1 + -36p2 + 36p2 + 216p3) = 0 Combine like terms: -36p2 + 36p2 = 0 (-1 + 0 + 216p3) = 0 (-1 + 216p3) = 0 Solving -1 + 216p3 = 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 + 216p3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 216p3 = 0 + 1 216p3 = 0 + 1 Combine like terms: 0 + 1 = 1 216p3 = 1 Divide each side by '216'. p3 = 0.00462962963 Simplifying p3 = 0.00462962963 Reorder the terms: -0.00462962963 + p3 = 0.00462962963 + -0.00462962963 Combine like terms: 0.00462962963 + -0.00462962963 = 0.00000000000 -0.00462962963 + p3 = 0.00000000000 The solution to this equation could not be determined.
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