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Simplifying p2 = 7p + 44 Reorder the terms: 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. (-4 + -1p)(11 + -1p) = 0Subproblem 1
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 = -4Subproblem 2
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 = 11Solution
p = {-4, 11}
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