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Simplifying 15p2 + -26p + 11 = 0 Reorder the terms: 11 + -26p + 15p2 = 0 Solving 11 + -26p + 15p2 = 0 Solving for variable 'p'. Factor a trinomial. (11 + -15p)(1 + -1p) = 0Subproblem 1
Set the factor '(11 + -15p)' equal to zero and attempt to solve: Simplifying 11 + -15p = 0 Solving 11 + -15p = 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 + -15p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -15p = 0 + -11 -15p = 0 + -11 Combine like terms: 0 + -11 = -11 -15p = -11 Divide each side by '-15'. p = 0.7333333333 Simplifying p = 0.7333333333Subproblem 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 = {0.7333333333, 1}
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