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Simplifying (p + 1)(p + -7) = 0 Reorder the terms: (1 + p)(p + -7) = 0 Reorder the terms: (1 + p)(-7 + p) = 0 Multiply (1 + p) * (-7 + p) (1(-7 + p) + p(-7 + p)) = 0 ((-7 * 1 + p * 1) + p(-7 + p)) = 0 ((-7 + 1p) + p(-7 + p)) = 0 (-7 + 1p + (-7 * p + p * p)) = 0 (-7 + 1p + (-7p + p2)) = 0 Combine like terms: 1p + -7p = -6p (-7 + -6p + p2) = 0 Solving -7 + -6p + p2 = 0 Solving for variable 'p'. 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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