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Simplifying 72 = 3p2 + 50p Reorder the terms: 72 = 50p + 3p2 Solving 72 = 50p + 3p2 Solving for variable 'p'. Reorder the terms: 72 + -50p + -3p2 = 50p + -50p + 3p2 + -3p2 Combine like terms: 50p + -50p = 0 72 + -50p + -3p2 = 0 + 3p2 + -3p2 72 + -50p + -3p2 = 3p2 + -3p2 Combine like terms: 3p2 + -3p2 = 0 72 + -50p + -3p2 = 0 Factor a trinomial. (4 + -3p)(18 + p) = 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 '(18 + p)' equal to zero and attempt to solve: Simplifying 18 + p = 0 Solving 18 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + p = 0 + -18 Combine like terms: 18 + -18 = 0 0 + p = 0 + -18 p = 0 + -18 Combine like terms: 0 + -18 = -18 p = -18 Simplifying p = -18Solution
p = {1.333333333, -18}
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