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Simplifying 4p2 + -9p + -133 = 0 Reorder the terms: -133 + -9p + 4p2 = 0 Solving -133 + -9p + 4p2 = 0 Solving for variable 'p'. Factor a trinomial. (-19 + -4p)(7 + -1p) = 0Subproblem 1
Set the factor '(-19 + -4p)' equal to zero and attempt to solve: Simplifying -19 + -4p = 0 Solving -19 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -4p = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -4p = 0 + 19 -4p = 0 + 19 Combine like terms: 0 + 19 = 19 -4p = 19 Divide each side by '-4'. p = -4.75 Simplifying p = -4.75Subproblem 2
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 = 7Solution
p = {-4.75, 7}
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