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Simplifying 12p2 + 31p + 20 = 0 Reorder the terms: 20 + 31p + 12p2 = 0 Solving 20 + 31p + 12p2 = 0 Solving for variable 'p'. Factor a trinomial. (4 + 3p)(5 + 4p) = 0Subproblem 1
Set the factor '(4 + 3p)' equal to zero and attempt to solve: Simplifying 4 + 3p = 0 Solving 4 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3p = 0 + -4 3p = 0 + -4 Combine like terms: 0 + -4 = -4 3p = -4 Divide each side by '3'. p = -1.333333333 Simplifying p = -1.333333333Subproblem 2
Set the factor '(5 + 4p)' equal to zero and attempt to solve: Simplifying 5 + 4p = 0 Solving 5 + 4p = 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 + 4p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4p = 0 + -5 4p = 0 + -5 Combine like terms: 0 + -5 = -5 4p = -5 Divide each side by '4'. p = -1.25 Simplifying p = -1.25Solution
p = {-1.333333333, -1.25}
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