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Simplifying p2 + 34 = -19p Reorder the terms: 34 + p2 = -19p Solving 34 + p2 = -19p Solving for variable 'p'. Reorder the terms: 34 + 19p + p2 = -19p + 19p Combine like terms: -19p + 19p = 0 34 + 19p + p2 = 0 Factor a trinomial. (17 + p)(2 + p) = 0Subproblem 1
Set the factor '(17 + p)' equal to zero and attempt to solve: Simplifying 17 + p = 0 Solving 17 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + p = 0 + -17 Combine like terms: 17 + -17 = 0 0 + p = 0 + -17 p = 0 + -17 Combine like terms: 0 + -17 = -17 p = -17 Simplifying p = -17Subproblem 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 = {-17, -2}
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