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Simplifying 6p2 + 23p + -35 = 0 Reorder the terms: -35 + 23p + 6p2 = 0 Solving -35 + 23p + 6p2 = 0 Solving for variable 'p'. Factor a trinomial. (-5 + -1p)(7 + -6p) = 0Subproblem 1
Set the factor '(-5 + -1p)' equal to zero and attempt to solve: Simplifying -5 + -1p = 0 Solving -5 + -1p = 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 + -1p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1p = 0 + 5 -1p = 0 + 5 Combine like terms: 0 + 5 = 5 -1p = 5 Divide each side by '-1'. p = -5 Simplifying p = -5Subproblem 2
Set the factor '(7 + -6p)' equal to zero and attempt to solve: Simplifying 7 + -6p = 0 Solving 7 + -6p = 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 + -6p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6p = 0 + -7 -6p = 0 + -7 Combine like terms: 0 + -7 = -7 -6p = -7 Divide each side by '-6'. p = 1.166666667 Simplifying p = 1.166666667Solution
p = {-5, 1.166666667}
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