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Simplifying 4p2 = -25p + -25 Reorder the terms: 4p2 = -25 + -25p Solving 4p2 = -25 + -25p Solving for variable 'p'. Reorder the terms: 25 + 25p + 4p2 = -25 + -25p + 25 + 25p Reorder the terms: 25 + 25p + 4p2 = -25 + 25 + -25p + 25p Combine like terms: -25 + 25 = 0 25 + 25p + 4p2 = 0 + -25p + 25p 25 + 25p + 4p2 = -25p + 25p Combine like terms: -25p + 25p = 0 25 + 25p + 4p2 = 0 Factor a trinomial. (5 + p)(5 + 4p) = 0Subproblem 1
Set the factor '(5 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 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 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5Subproblem 2
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 = -1.25Solution
p = {-5, -1.25}
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