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Simplifying 6p2 = 11p + -5 Reorder the terms: 6p2 = -5 + 11p Solving 6p2 = -5 + 11p Solving for variable 'p'. Reorder the terms: 5 + -11p + 6p2 = -5 + 11p + 5 + -11p Reorder the terms: 5 + -11p + 6p2 = -5 + 5 + 11p + -11p Combine like terms: -5 + 5 = 0 5 + -11p + 6p2 = 0 + 11p + -11p 5 + -11p + 6p2 = 11p + -11p Combine like terms: 11p + -11p = 0 5 + -11p + 6p2 = 0 Factor a trinomial. (5 + -6p)(1 + -1p) = 0Subproblem 1
Set the factor '(5 + -6p)' equal to zero and attempt to solve: Simplifying 5 + -6p = 0 Solving 5 + -6p = 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 + -6p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6p = 0 + -5 -6p = 0 + -5 Combine like terms: 0 + -5 = -5 -6p = -5 Divide each side by '-6'. p = 0.8333333333 Simplifying p = 0.8333333333Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Solution
p = {0.8333333333, 1}
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