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Simplifying p2 = -15p + -44 Reorder the terms: p2 = -44 + -15p Solving p2 = -44 + -15p Solving for variable 'p'. Reorder the terms: 44 + 15p + p2 = -44 + -15p + 44 + 15p Reorder the terms: 44 + 15p + p2 = -44 + 44 + -15p + 15p Combine like terms: -44 + 44 = 0 44 + 15p + p2 = 0 + -15p + 15p 44 + 15p + p2 = -15p + 15p Combine like terms: -15p + 15p = 0 44 + 15p + p2 = 0 Factor a trinomial. (11 + p)(4 + p) = 0Subproblem 1
Set the factor '(11 + p)' equal to zero and attempt to solve: Simplifying 11 + p = 0 Solving 11 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + p = 0 + -11 p = 0 + -11 Combine like terms: 0 + -11 = -11 p = -11 Simplifying p = -11Subproblem 2
Set the factor '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4Solution
p = {-11, -4}
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