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Simplifying 3p2 + 50p + -72 = 0 Reorder the terms: -72 + 50p + 3p2 = 0 Solving -72 + 50p + 3p2 = 0 Solving for variable 'p'. Factor a trinomial. (-18 + -1p)(4 + -3p) = 0Subproblem 1
Set the factor '(-18 + -1p)' equal to zero and attempt to solve: Simplifying -18 + -1p = 0 Solving -18 + -1p = 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 + -1p = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1p = 0 + 18 -1p = 0 + 18 Combine like terms: 0 + 18 = 18 -1p = 18 Divide each side by '-1'. p = -18 Simplifying p = -18Subproblem 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 = {-18, 1.333333333}
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