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Simplifying 0 = 6p2 + 11p + -10 Reorder the terms: 0 = -10 + 11p + 6p2 Solving 0 = -10 + 11p + 6p2 Solving for variable 'p'. Combine like terms: 0 + 10 = 10 10 + -11p + -6p2 = -10 + 11p + 6p2 + 10 + -11p + -6p2 Reorder the terms: 10 + -11p + -6p2 = -10 + 10 + 11p + -11p + 6p2 + -6p2 Combine like terms: -10 + 10 = 0 10 + -11p + -6p2 = 0 + 11p + -11p + 6p2 + -6p2 10 + -11p + -6p2 = 11p + -11p + 6p2 + -6p2 Combine like terms: 11p + -11p = 0 10 + -11p + -6p2 = 0 + 6p2 + -6p2 10 + -11p + -6p2 = 6p2 + -6p2 Combine like terms: 6p2 + -6p2 = 0 10 + -11p + -6p2 = 0 Factor a trinomial. (2 + -3p)(5 + 2p) = 0Subproblem 1
Set the factor '(2 + -3p)' equal to zero and attempt to solve: Simplifying 2 + -3p = 0 Solving 2 + -3p = 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 + -3p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = 0 + -2 -3p = 0 + -2 Combine like terms: 0 + -2 = -2 -3p = -2 Divide each side by '-3'. p = 0.6666666667 Simplifying p = 0.6666666667Subproblem 2
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 = -2.5Solution
p = {0.6666666667, -2.5}
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