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Simplifying (p + 5)(p + -6) = 0 Reorder the terms: (5 + p)(p + -6) = 0 Reorder the terms: (5 + p)(-6 + p) = 0 Multiply (5 + p) * (-6 + p) (5(-6 + p) + p(-6 + p)) = 0 ((-6 * 5 + p * 5) + p(-6 + p)) = 0 ((-30 + 5p) + p(-6 + p)) = 0 (-30 + 5p + (-6 * p + p * p)) = 0 (-30 + 5p + (-6p + p2)) = 0 Combine like terms: 5p + -6p = -1p (-30 + -1p + p2) = 0 Solving -30 + -1p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (-5 + -1p)(6 + -1p) = 0Subproblem 1
Set the factor '(-5 + -1p)' equal to zero and attempt to solve: Simplifying -5 + -1p = 0 Solving -5 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1p = 0 + 5 -1p = 0 + 5 Combine like terms: 0 + 5 = 5 -1p = 5 Divide each side by '-1'. p = -5 Simplifying p = -5Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve: Simplifying 6 + -1p = 0 Solving 6 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1p = 0 + -6 -1p = 0 + -6 Combine like terms: 0 + -6 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6Solution
p = {-5, 6}
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