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Simplifying 4p2 + -15p + -25 = 0 Reorder the terms: -25 + -15p + 4p2 = 0 Solving -25 + -15p + 4p2 = 0 Solving for variable 'p'. Factor a trinomial. (-5 + -4p)(5 + -1p) = 0Subproblem 1
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 = -1.25Subproblem 2
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 = 5Solution
p = {-1.25, 5}
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