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Simplifying (2p + 7)(p + 7) = 0 Reorder the terms: (7 + 2p)(p + 7) = 0 Reorder the terms: (7 + 2p)(7 + p) = 0 Multiply (7 + 2p) * (7 + p) (7(7 + p) + 2p * (7 + p)) = 0 ((7 * 7 + p * 7) + 2p * (7 + p)) = 0 ((49 + 7p) + 2p * (7 + p)) = 0 (49 + 7p + (7 * 2p + p * 2p)) = 0 (49 + 7p + (14p + 2p2)) = 0 Combine like terms: 7p + 14p = 21p (49 + 21p + 2p2) = 0 Solving 49 + 21p + 2p2 = 0 Solving for variable 'p'. Factor a trinomial. (7 + p)(7 + 2p) = 0Subproblem 1
Set the factor '(7 + p)' equal to zero and attempt to solve: Simplifying 7 + p = 0 Solving 7 + p = 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 + p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + p = 0 + -7 p = 0 + -7 Combine like terms: 0 + -7 = -7 p = -7 Simplifying p = -7Subproblem 2
Set the factor '(7 + 2p)' equal to zero and attempt to solve: Simplifying 7 + 2p = 0 Solving 7 + 2p = 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 + 2p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = 0 + -7 2p = 0 + -7 Combine like terms: 0 + -7 = -7 2p = -7 Divide each side by '2'. p = -3.5 Simplifying p = -3.5Solution
p = {-7, -3.5}
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