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Simplifying 4p2 + 23p + -39 = -4 Reorder the terms: -39 + 23p + 4p2 = -4 Solving -39 + 23p + 4p2 = -4 Solving for variable 'p'. Reorder the terms: -39 + 4 + 23p + 4p2 = -4 + 4 Combine like terms: -39 + 4 = -35 -35 + 23p + 4p2 = -4 + 4 Combine like terms: -4 + 4 = 0 -35 + 23p + 4p2 = 0 Factor a trinomial. (-7 + -1p)(5 + -4p) = 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 + -4p)' equal to zero and attempt to solve: Simplifying 5 + -4p = 0 Solving 5 + -4p = 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 + -4p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4p = 0 + -5 -4p = 0 + -5 Combine like terms: 0 + -5 = -5 -4p = -5 Divide each side by '-4'. p = 1.25 Simplifying p = 1.25Solution
p = {-7, 1.25}
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