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Simplifying 15p2 + 80 = 80p Reorder the terms: 80 + 15p2 = 80p Solving 80 + 15p2 = 80p Solving for variable 'p'. Reorder the terms: 80 + -80p + 15p2 = 80p + -80p Combine like terms: 80p + -80p = 0 80 + -80p + 15p2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(16 + -16p + 3p2) = 0 Factor a trinomial. 5((4 + -3p)(4 + -1p)) = 0 Ignore the factor 5.Subproblem 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 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 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 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {1.333333333, 4}
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