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Simplifying (p + -7)(p + 8) = 0 Reorder the terms: (-7 + p)(p + 8) = 0 Reorder the terms: (-7 + p)(8 + p) = 0 Multiply (-7 + p) * (8 + p) (-7(8 + p) + p(8 + p)) = 0 ((8 * -7 + p * -7) + p(8 + p)) = 0 ((-56 + -7p) + p(8 + p)) = 0 (-56 + -7p + (8 * p + p * p)) = 0 (-56 + -7p + (8p + p2)) = 0 Combine like terms: -7p + 8p = 1p (-56 + 1p + p2) = 0 Solving -56 + 1p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (-8 + -1p)(7 + -1p) = 0Subproblem 1
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 = -8Subproblem 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 = {-8, 7}
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