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Simplifying p2 + 16p + 28 = 0 Reorder the terms: 28 + 16p + p2 = 0 Solving 28 + 16p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (14 + p)(2 + p) = 0Subproblem 1
Set the factor '(14 + p)' equal to zero and attempt to solve: Simplifying 14 + p = 0 Solving 14 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + p = 0 + -14 p = 0 + -14 Combine like terms: 0 + -14 = -14 p = -14 Simplifying p = -14Subproblem 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 = {-14, -2}
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