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Simplifying 22p2 + 51p + -10 = 0 Reorder the terms: -10 + 51p + 22p2 = 0 Solving -10 + 51p + 22p2 = 0 Solving for variable 'p'. Factor a trinomial. (-5 + -2p)(2 + -11p) = 0Subproblem 1
Set the factor '(-5 + -2p)' equal to zero and attempt to solve: Simplifying -5 + -2p = 0 Solving -5 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2p = 0 + 5 -2p = 0 + 5 Combine like terms: 0 + 5 = 5 -2p = 5 Divide each side by '-2'. p = -2.5 Simplifying p = -2.5Subproblem 2
Set the factor '(2 + -11p)' equal to zero and attempt to solve: Simplifying 2 + -11p = 0 Solving 2 + -11p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -11p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -11p = 0 + -2 -11p = 0 + -2 Combine like terms: 0 + -2 = -2 -11p = -2 Divide each side by '-11'. p = 0.1818181818 Simplifying p = 0.1818181818Solution
p = {-2.5, 0.1818181818}
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