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Simplifying 9p2 + 19p + -66 = 8 Reorder the terms: -66 + 19p + 9p2 = 8 Solving -66 + 19p + 9p2 = 8 Solving for variable 'p'. Reorder the terms: -66 + -8 + 19p + 9p2 = 8 + -8 Combine like terms: -66 + -8 = -74 -74 + 19p + 9p2 = 8 + -8 Combine like terms: 8 + -8 = 0 -74 + 19p + 9p2 = 0 Factor a trinomial. (-37 + -9p)(2 + -1p) = 0Subproblem 1
Set the factor '(-37 + -9p)' equal to zero and attempt to solve: Simplifying -37 + -9p = 0 Solving -37 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -9p = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -9p = 0 + 37 -9p = 0 + 37 Combine like terms: 0 + 37 = 37 -9p = 37 Divide each side by '-9'. p = -4.111111111 Simplifying p = -4.111111111Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {-4.111111111, 2}
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