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Simplifying 16p2 + -8p + -15 = 0 Reorder the terms: -15 + -8p + 16p2 = 0 Solving -15 + -8p + 16p2 = 0 Solving for variable 'p'. Factor a trinomial. (-3 + -4p)(5 + -4p) = 0Subproblem 1
Set the factor '(-3 + -4p)' equal to zero and attempt to solve: Simplifying -3 + -4p = 0 Solving -3 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4p = 0 + 3 -4p = 0 + 3 Combine like terms: 0 + 3 = 3 -4p = 3 Divide each side by '-4'. p = -0.75 Simplifying p = -0.75Subproblem 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 = {-0.75, 1.25}
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