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Simplifying 3p2 + 96 = 76p Reorder the terms: 96 + 3p2 = 76p Solving 96 + 3p2 = 76p Solving for variable 'p'. Reorder the terms: 96 + -76p + 3p2 = 76p + -76p Combine like terms: 76p + -76p = 0 96 + -76p + 3p2 = 0 Factor a trinomial. (4 + -3p)(24 + -1p) = 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 '(24 + -1p)' equal to zero and attempt to solve: Simplifying 24 + -1p = 0 Solving 24 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1p = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1p = 0 + -24 -1p = 0 + -24 Combine like terms: 0 + -24 = -24 -1p = -24 Divide each side by '-1'. p = 24 Simplifying p = 24Solution
p = {1.333333333, 24}
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