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Simplifying -1p2 + 14p + -45 = 0 Reorder the terms: -45 + 14p + -1p2 = 0 Solving -45 + 14p + -1p2 = 0 Solving for variable 'p'. Factor a trinomial. (-9 + p)(5 + -1p) = 0Subproblem 1
Set the factor '(-9 + p)' equal to zero and attempt to solve: Simplifying -9 + p = 0 Solving -9 + p = 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 + p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + p = 0 + 9 p = 0 + 9 Combine like terms: 0 + 9 = 9 p = 9 Simplifying p = 9Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5Solution
p = {9, 5}
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