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Simplifying p2 = 44 + -7p Solving p2 = 44 + -7p Solving for variable 'p'. Reorder the terms: -44 + 7p + p2 = 44 + -7p + -44 + 7p Reorder the terms: -44 + 7p + p2 = 44 + -44 + -7p + 7p Combine like terms: 44 + -44 = 0 -44 + 7p + p2 = 0 + -7p + 7p -44 + 7p + p2 = -7p + 7p Combine like terms: -7p + 7p = 0 -44 + 7p + p2 = 0 Factor a trinomial. (-11 + -1p)(4 + -1p) = 0Subproblem 1
Set the factor '(-11 + -1p)' equal to zero and attempt to solve: Simplifying -11 + -1p = 0 Solving -11 + -1p = 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 + -1p = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1p = 0 + 11 -1p = 0 + 11 Combine like terms: 0 + 11 = 11 -1p = 11 Divide each side by '-1'. p = -11 Simplifying p = -11Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 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 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {-11, 4}
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