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Simplifying (p + 9)(p + -4) = 0 Reorder the terms: (9 + p)(p + -4) = 0 Reorder the terms: (9 + p)(-4 + p) = 0 Multiply (9 + p) * (-4 + p) (9(-4 + p) + p(-4 + p)) = 0 ((-4 * 9 + p * 9) + p(-4 + p)) = 0 ((-36 + 9p) + p(-4 + p)) = 0 (-36 + 9p + (-4 * p + p * p)) = 0 (-36 + 9p + (-4p + p2)) = 0 Combine like terms: 9p + -4p = 5p (-36 + 5p + p2) = 0 Solving -36 + 5p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (-9 + -1p)(4 + -1p) = 0Subproblem 1
Set the factor '(-9 + -1p)' equal to zero and attempt to solve: Simplifying -9 + -1p = 0 Solving -9 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1p = 0 + 9 -1p = 0 + 9 Combine like terms: 0 + 9 = 9 -1p = 9 Divide each side by '-1'. p = -9 Simplifying p = -9Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve: Simplifying 4 + -1p = 0 Solving 4 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1p = 0 + -4 -1p = 0 + -4 Combine like terms: 0 + -4 = -4 -1p = -4 Divide each side by '-1'. p = 4 Simplifying p = 4Solution
p = {-9, 4}
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