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Simplifying p2 + -1p + -51 = 5 Reorder the terms: -51 + -1p + p2 = 5 Solving -51 + -1p + p2 = 5 Solving for variable 'p'. Reorder the terms: -51 + -5 + -1p + p2 = 5 + -5 Combine like terms: -51 + -5 = -56 -56 + -1p + p2 = 5 + -5 Combine like terms: 5 + -5 = 0 -56 + -1p + p2 = 0 Factor a trinomial. (-7 + -1p)(8 + -1p) = 0Subproblem 1
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 = -7Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve: Simplifying 8 + -1p = 0 Solving 8 + -1p = 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 + -1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 0 + -8 -1p = 0 + -8 Combine like terms: 0 + -8 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8Solution
p = {-7, 8}
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