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Simplifying 48p2 + -29p + -15 = 0 Reorder the terms: -15 + -29p + 48p2 = 0 Solving -15 + -29p + 48p2 = 0 Solving for variable 'p'. Factor a trinomial. (-1 + -3p)(15 + -16p) = 0Subproblem 1
Set the factor '(-1 + -3p)' equal to zero and attempt to solve: Simplifying -1 + -3p = 0 Solving -1 + -3p = 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 + -3p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3p = 0 + 1 -3p = 0 + 1 Combine like terms: 0 + 1 = 1 -3p = 1 Divide each side by '-3'. p = -0.3333333333 Simplifying p = -0.3333333333Subproblem 2
Set the factor '(15 + -16p)' equal to zero and attempt to solve: Simplifying 15 + -16p = 0 Solving 15 + -16p = 0 Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -16p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -16p = 0 + -15 -16p = 0 + -15 Combine like terms: 0 + -15 = -15 -16p = -15 Divide each side by '-16'. p = 0.9375 Simplifying p = 0.9375Solution
p = {-0.3333333333, 0.9375}
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