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Simplifying 3p2 = 20p + -25 Reorder the terms: 3p2 = -25 + 20p Solving 3p2 = -25 + 20p Solving for variable 'p'. Reorder the terms: 25 + -20p + 3p2 = -25 + 20p + 25 + -20p Reorder the terms: 25 + -20p + 3p2 = -25 + 25 + 20p + -20p Combine like terms: -25 + 25 = 0 25 + -20p + 3p2 = 0 + 20p + -20p 25 + -20p + 3p2 = 20p + -20p Combine like terms: 20p + -20p = 0 25 + -20p + 3p2 = 0 Factor a trinomial. (5 + -3p)(5 + -1p) = 0Subproblem 1
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 = 1.666666667Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 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 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5Solution
p = {1.666666667, 5}
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