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Simplifying (9p + -4)(p + 9) = 0 Reorder the terms: (-4 + 9p)(p + 9) = 0 Reorder the terms: (-4 + 9p)(9 + p) = 0 Multiply (-4 + 9p) * (9 + p) (-4(9 + p) + 9p * (9 + p)) = 0 ((9 * -4 + p * -4) + 9p * (9 + p)) = 0 ((-36 + -4p) + 9p * (9 + p)) = 0 (-36 + -4p + (9 * 9p + p * 9p)) = 0 (-36 + -4p + (81p + 9p2)) = 0 Combine like terms: -4p + 81p = 77p (-36 + 77p + 9p2) = 0 Solving -36 + 77p + 9p2 = 0 Solving for variable 'p'. Factor a trinomial. (-9 + -1p)(4 + -9p) = 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 + -9p)' equal to zero and attempt to solve: Simplifying 4 + -9p = 0 Solving 4 + -9p = 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 + -9p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9p = 0 + -4 -9p = 0 + -4 Combine like terms: 0 + -4 = -4 -9p = -4 Divide each side by '-9'. p = 0.4444444444 Simplifying p = 0.4444444444Solution
p = {-9, 0.4444444444}
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