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Simplifying 4p2 + 121 = 44p Reorder the terms: 121 + 4p2 = 44p Solving 121 + 4p2 = 44p Solving for variable 'p'. Reorder the terms: 121 + -44p + 4p2 = 44p + -44p Combine like terms: 44p + -44p = 0 121 + -44p + 4p2 = 0 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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