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Simplifying 28p2 + 60p + -25 = 0 Reorder the terms: -25 + 60p + 28p2 = 0 Solving -25 + 60p + 28p2 = 0 Solving for variable 'p'. Factor a trinomial. (-5 + -2p)(5 + -14p) = 0Subproblem 1
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 = -2.5Subproblem 2
Set the factor '(5 + -14p)' equal to zero and attempt to solve: Simplifying 5 + -14p = 0 Solving 5 + -14p = 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 + -14p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -14p = 0 + -5 -14p = 0 + -5 Combine like terms: 0 + -5 = -5 -14p = -5 Divide each side by '-14'. p = 0.3571428571 Simplifying p = 0.3571428571Solution
p = {-2.5, 0.3571428571}
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