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Simplifying 4p2 + 11p + -45 = 0 Reorder the terms: -45 + 11p + 4p2 = 0 Solving -45 + 11p + 4p2 = 0 Solving for variable 'p'. Factor a trinomial. (-5 + -1p)(9 + -4p) = 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 '(9 + -4p)' equal to zero and attempt to solve: Simplifying 9 + -4p = 0 Solving 9 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4p = 0 + -9 -4p = 0 + -9 Combine like terms: 0 + -9 = -9 -4p = -9 Divide each side by '-4'. p = 2.25 Simplifying p = 2.25Solution
p = {-5, 2.25}
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