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Simplifying 9p2 + 58p + -35 = 0 Reorder the terms: -35 + 58p + 9p2 = 0 Solving -35 + 58p + 9p2 = 0 Solving for variable 'p'. Factor a trinomial. (-7 + -1p)(5 + -9p) = 0Subproblem 1
Set the factor '(-7 + -1p)' equal to zero and attempt to solve: Simplifying -7 + -1p = 0 Solving -7 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1p = 0 + 7 -1p = 0 + 7 Combine like terms: 0 + 7 = 7 -1p = 7 Divide each side by '-1'. p = -7 Simplifying p = -7Subproblem 2
Set the factor '(5 + -9p)' equal to zero and attempt to solve: Simplifying 5 + -9p = 0 Solving 5 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9p = 0 + -5 -9p = 0 + -5 Combine like terms: 0 + -5 = -5 -9p = -5 Divide each side by '-9'. p = 0.5555555556 Simplifying p = 0.5555555556Solution
p = {-7, 0.5555555556}
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