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Simplifying 4p2 + -5p + -125 = 0 Reorder the terms: -125 + -5p + 4p2 = 0 Solving -125 + -5p + 4p2 = 0 Solving for variable 'p'. Factor a trinomial. (-5 + -1p)(25 + -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 '(25 + -4p)' equal to zero and attempt to solve: Simplifying 25 + -4p = 0 Solving 25 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -4p = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4p = 0 + -25 -4p = 0 + -25 Combine like terms: 0 + -25 = -25 -4p = -25 Divide each side by '-4'. p = 6.25 Simplifying p = 6.25Solution
p = {-5, 6.25}
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