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Simplifying 5p2 + -11p + -124 = 0 Reorder the terms: -124 + -11p + 5p2 = 0 Solving -124 + -11p + 5p2 = 0 Solving for variable 'p'. Factor a trinomial. (-4 + -1p)(31 + -5p) = 0Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve: Simplifying -4 + -1p = 0 Solving -4 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = 0 + 4 -1p = 0 + 4 Combine like terms: 0 + 4 = 4 -1p = 4 Divide each side by '-1'. p = -4 Simplifying p = -4Subproblem 2
Set the factor '(31 + -5p)' equal to zero and attempt to solve: Simplifying 31 + -5p = 0 Solving 31 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -5p = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -5p = 0 + -31 -5p = 0 + -31 Combine like terms: 0 + -31 = -31 -5p = -31 Divide each side by '-5'. p = 6.2 Simplifying p = 6.2Solution
p = {-4, 6.2}
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