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Simplifying 9p2 + 86p + -40 = 0 Reorder the terms: -40 + 86p + 9p2 = 0 Solving -40 + 86p + 9p2 = 0 Solving for variable 'p'. Factor a trinomial. (-10 + -1p)(4 + -9p) = 0Subproblem 1
Set the factor '(-10 + -1p)' equal to zero and attempt to solve: Simplifying -10 + -1p = 0 Solving -10 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1p = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1p = 0 + 10 -1p = 0 + 10 Combine like terms: 0 + 10 = 10 -1p = 10 Divide each side by '-1'. p = -10 Simplifying p = -10Subproblem 2
Set the factor '(4 + -9p)' equal to zero and attempt to solve: Simplifying 4 + -9p = 0 Solving 4 + -9p = 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 + -9p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9p = 0 + -4 -9p = 0 + -4 Combine like terms: 0 + -4 = -4 -9p = -4 Divide each side by '-9'. p = 0.4444444444 Simplifying p = 0.4444444444Solution
p = {-10, 0.4444444444}
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