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Simplifying p(p + 11) = -24 Reorder the terms: p(11 + p) = -24 (11 * p + p * p) = -24 (11p + p2) = -24 Solving 11p + p2 = -24 Solving for variable 'p'. Reorder the terms: 24 + 11p + p2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + 11p + p2 = 0 Factor a trinomial. (8 + p)(3 + p) = 0Subproblem 1
Set the factor '(8 + p)' equal to zero and attempt to solve: Simplifying 8 + p = 0 Solving 8 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + p = 0 + -8 p = 0 + -8 Combine like terms: 0 + -8 = -8 p = -8 Simplifying p = -8Subproblem 2
Set the factor '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3Solution
p = {-8, -3}
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