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Simplifying 0 = p2 + -9p + 8 Reorder the terms: 0 = 8 + -9p + p2 Solving 0 = 8 + -9p + p2 Solving for variable 'p'. Combine like terms: 0 + -8 = -8 -8 + 9p + -1p2 = 8 + -9p + p2 + -8 + 9p + -1p2 Reorder the terms: -8 + 9p + -1p2 = 8 + -8 + -9p + 9p + p2 + -1p2 Combine like terms: 8 + -8 = 0 -8 + 9p + -1p2 = 0 + -9p + 9p + p2 + -1p2 -8 + 9p + -1p2 = -9p + 9p + p2 + -1p2 Combine like terms: -9p + 9p = 0 -8 + 9p + -1p2 = 0 + p2 + -1p2 -8 + 9p + -1p2 = p2 + -1p2 Combine like terms: p2 + -1p2 = 0 -8 + 9p + -1p2 = 0 Factor a trinomial. (-8 + p)(1 + -1p) = 0Subproblem 1
Set the factor '(-8 + p)' equal to zero and attempt to solve: Simplifying -8 + p = 0 Solving -8 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + p = 0 + 8 p = 0 + 8 Combine like terms: 0 + 8 = 8 p = 8 Simplifying p = 8Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Solution
p = {8, 1}
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