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Simplifying p2 + -8p + 16 = 9 Reorder the terms: 16 + -8p + p2 = 9 Solving 16 + -8p + p2 = 9 Solving for variable 'p'. Reorder the terms: 16 + -9 + -8p + p2 = 9 + -9 Combine like terms: 16 + -9 = 7 7 + -8p + p2 = 9 + -9 Combine like terms: 9 + -9 = 0 7 + -8p + p2 = 0 Factor a trinomial. (1 + -1p)(7 + -1p) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7Solution
p = {1, 7}
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