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Simplifying (7p + 2)(p + 9) = 0 Reorder the terms: (2 + 7p)(p + 9) = 0 Reorder the terms: (2 + 7p)(9 + p) = 0 Multiply (2 + 7p) * (9 + p) (2(9 + p) + 7p * (9 + p)) = 0 ((9 * 2 + p * 2) + 7p * (9 + p)) = 0 ((18 + 2p) + 7p * (9 + p)) = 0 (18 + 2p + (9 * 7p + p * 7p)) = 0 (18 + 2p + (63p + 7p2)) = 0 Combine like terms: 2p + 63p = 65p (18 + 65p + 7p2) = 0 Solving 18 + 65p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (9 + p)(2 + 7p) = 0Subproblem 1
Set the factor '(9 + p)' equal to zero and attempt to solve: Simplifying 9 + p = 0 Solving 9 + p = 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 + p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + p = 0 + -9 p = 0 + -9 Combine like terms: 0 + -9 = -9 p = -9 Simplifying p = -9Subproblem 2
Set the factor '(2 + 7p)' equal to zero and attempt to solve: Simplifying 2 + 7p = 0 Solving 2 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7p = 0 + -2 7p = 0 + -2 Combine like terms: 0 + -2 = -2 7p = -2 Divide each side by '7'. p = -0.2857142857 Simplifying p = -0.2857142857Solution
p = {-9, -0.2857142857}
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