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Simplifying p2(81p + -198p + -121) = 0 Reorder the terms: p2(-121 + 81p + -198p) = 0 Combine like terms: 81p + -198p = -117p p2(-121 + -117p) = 0 (-121 * p2 + -117p * p2) = 0 (-121p2 + -117p3) = 0 Solving -121p2 + -117p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-1p2'. -1p2(121 + 117p) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}Subproblem 2
Set the factor '(121 + 117p)' equal to zero and attempt to solve: Simplifying 121 + 117p = 0 Solving 121 + 117p = 0 Move all terms containing p to the left, all other terms to the right. Add '-121' to each side of the equation. 121 + -121 + 117p = 0 + -121 Combine like terms: 121 + -121 = 0 0 + 117p = 0 + -121 117p = 0 + -121 Combine like terms: 0 + -121 = -121 117p = -121 Divide each side by '117'. p = -1.034188034 Simplifying p = -1.034188034Solution
p = {0, -1.034188034}
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