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Simplifying (p + 2)(p + 2) = 0 Reorder the terms: (2 + p)(p + 2) = 0 Reorder the terms: (2 + p)(2 + p) = 0 Multiply (2 + p) * (2 + p) (2(2 + p) + p(2 + p)) = 0 ((2 * 2 + p * 2) + p(2 + p)) = 0 ((4 + 2p) + p(2 + p)) = 0 (4 + 2p + (2 * p + p * p)) = 0 (4 + 2p + (2p + p2)) = 0 Combine like terms: 2p + 2p = 4p (4 + 4p + p2) = 0 Solving 4 + 4p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (2 + p)(2 + p) = 0Subproblem 1
Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 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 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Subproblem 2
Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 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 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Solution
p = {-2, -2}
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