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Simplifying p2 = 1p + 20 Reorder the terms: p2 = 20 + 1p Solving p2 = 20 + 1p Solving for variable 'p'. Reorder the terms: -20 + -1p + p2 = 20 + 1p + -20 + -1p Reorder the terms: -20 + -1p + p2 = 20 + -20 + 1p + -1p Combine like terms: 20 + -20 = 0 -20 + -1p + p2 = 0 + 1p + -1p -20 + -1p + p2 = 1p + -1p Combine like terms: 1p + -1p = 0 -20 + -1p + p2 = 0 Factor a trinomial. (-4 + -1p)(5 + -1p) = 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 '(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 = {-4, 5}
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