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Simplifying 9p2 = 24p + -16 Reorder the terms: 9p2 = -16 + 24p Solving 9p2 = -16 + 24p Solving for variable 'p'. Reorder the terms: 16 + -24p + 9p2 = -16 + 24p + 16 + -24p Reorder the terms: 16 + -24p + 9p2 = -16 + 16 + 24p + -24p Combine like terms: -16 + 16 = 0 16 + -24p + 9p2 = 0 + 24p + -24p 16 + -24p + 9p2 = 24p + -24p Combine like terms: 24p + -24p = 0 16 + -24p + 9p2 = 0 Factor a trinomial. (4 + -3p)(4 + -3p) = 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 '(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 = 1.333333333Solution
p = {1.333333333, 1.333333333}
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