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Simplifying 6p2 + 25p + -119 = 0 Reorder the terms: -119 + 25p + 6p2 = 0 Solving -119 + 25p + 6p2 = 0 Solving for variable 'p'. Factor a trinomial. (-7 + -1p)(17 + -6p) = 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 '(17 + -6p)' equal to zero and attempt to solve: Simplifying 17 + -6p = 0 Solving 17 + -6p = 0 Move all terms containing p to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -6p = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6p = 0 + -17 -6p = 0 + -17 Combine like terms: 0 + -17 = -17 -6p = -17 Divide each side by '-6'. p = 2.833333333 Simplifying p = 2.833333333Solution
p = {-7, 2.833333333}
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