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Simplifying 3p2 = -11p + -10 Reorder the terms: 3p2 = -10 + -11p Solving 3p2 = -10 + -11p Solving for variable 'p'. Reorder the terms: 10 + 11p + 3p2 = -10 + -11p + 10 + 11p Reorder the terms: 10 + 11p + 3p2 = -10 + 10 + -11p + 11p Combine like terms: -10 + 10 = 0 10 + 11p + 3p2 = 0 + -11p + 11p 10 + 11p + 3p2 = -11p + 11p Combine like terms: -11p + 11p = 0 10 + 11p + 3p2 = 0 Factor a trinomial. (2 + p)(5 + 3p) = 0Subproblem 1
Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 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 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Subproblem 2
Set the factor '(5 + 3p)' equal to zero and attempt to solve: Simplifying 5 + 3p = 0 Solving 5 + 3p = 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 + 3p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3p = 0 + -5 3p = 0 + -5 Combine like terms: 0 + -5 = -5 3p = -5 Divide each side by '3'. p = -1.666666667 Simplifying p = -1.666666667Solution
p = {-2, -1.666666667}
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