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Simplifying 4p2 + 44p + 121 = 0 Reorder the terms: 121 + 44p + 4p2 = 0 Solving 121 + 44p + 4p2 = 0 Solving for variable 'p'. Factor a trinomial. (11 + 2p)(11 + 2p) = 0Subproblem 1
Set the factor '(11 + 2p)' equal to zero and attempt to solve: Simplifying 11 + 2p = 0 Solving 11 + 2p = 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 + 2p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2p = 0 + -11 2p = 0 + -11 Combine like terms: 0 + -11 = -11 2p = -11 Divide each side by '2'. p = -5.5 Simplifying p = -5.5Subproblem 2
Set the factor '(11 + 2p)' equal to zero and attempt to solve: Simplifying 11 + 2p = 0 Solving 11 + 2p = 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 + 2p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2p = 0 + -11 2p = 0 + -11 Combine like terms: 0 + -11 = -11 2p = -11 Divide each side by '2'. p = -5.5 Simplifying p = -5.5Solution
p = {-5.5, -5.5}
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