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Simplifying (3p + -1)(9p2 + 3p + 1) = 0 Reorder the terms: (-1 + 3p)(9p2 + 3p + 1) = 0 Reorder the terms: (-1 + 3p)(1 + 3p + 9p2) = 0 Multiply (-1 + 3p) * (1 + 3p + 9p2) (-1(1 + 3p + 9p2) + 3p * (1 + 3p + 9p2)) = 0 ((1 * -1 + 3p * -1 + 9p2 * -1) + 3p * (1 + 3p + 9p2)) = 0 ((-1 + -3p + -9p2) + 3p * (1 + 3p + 9p2)) = 0 (-1 + -3p + -9p2 + (1 * 3p + 3p * 3p + 9p2 * 3p)) = 0 (-1 + -3p + -9p2 + (3p + 9p2 + 27p3)) = 0 Reorder the terms: (-1 + -3p + 3p + -9p2 + 9p2 + 27p3) = 0 Combine like terms: -3p + 3p = 0 (-1 + 0 + -9p2 + 9p2 + 27p3) = 0 (-1 + -9p2 + 9p2 + 27p3) = 0 Combine like terms: -9p2 + 9p2 = 0 (-1 + 0 + 27p3) = 0 (-1 + 27p3) = 0 Solving -1 + 27p3 = 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 + 27p3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 27p3 = 0 + 1 27p3 = 0 + 1 Combine like terms: 0 + 1 = 1 27p3 = 1 Divide each side by '27'. p3 = 0.03703703704 Simplifying p3 = 0.03703703704 Reorder the terms: -0.03703703704 + p3 = 0.03703703704 + -0.03703703704 Combine like terms: 0.03703703704 + -0.03703703704 = 0.00000000000 -0.03703703704 + p3 = 0.00000000000 The solution to this equation could not be determined.
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