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Simplifying 4p2 + 5p + -279 = 0 Reorder the terms: -279 + 5p + 4p2 = 0 Solving -279 + 5p + 4p2 = 0 Solving for variable 'p'. Factor a trinomial. (-9 + -1p)(31 + -4p) = 0Subproblem 1
Set the factor '(-9 + -1p)' equal to zero and attempt to solve: Simplifying -9 + -1p = 0 Solving -9 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1p = 0 + 9 -1p = 0 + 9 Combine like terms: 0 + 9 = 9 -1p = 9 Divide each side by '-1'. p = -9 Simplifying p = -9Subproblem 2
Set the factor '(31 + -4p)' equal to zero and attempt to solve: Simplifying 31 + -4p = 0 Solving 31 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -4p = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -4p = 0 + -31 -4p = 0 + -31 Combine like terms: 0 + -31 = -31 -4p = -31 Divide each side by '-4'. p = 7.75 Simplifying p = 7.75Solution
p = {-9, 7.75}
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