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Simplifying p2 + -21p + 108 = 0 Reorder the terms: 108 + -21p + p2 = 0 Solving 108 + -21p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (9 + -1p)(12 + -1p) = 0Subproblem 1
Set the factor '(9 + -1p)' equal to zero and attempt to solve: Simplifying 9 + -1p = 0 Solving 9 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1p = 0 + -9 -1p = 0 + -9 Combine like terms: 0 + -9 = -9 -1p = -9 Divide each side by '-1'. p = 9 Simplifying p = 9Subproblem 2
Set the factor '(12 + -1p)' equal to zero and attempt to solve: Simplifying 12 + -1p = 0 Solving 12 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1p = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1p = 0 + -12 -1p = 0 + -12 Combine like terms: 0 + -12 = -12 -1p = -12 Divide each side by '-1'. p = 12 Simplifying p = 12Solution
p = {9, 12}
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