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Simplifying p2 + p = 342 Reorder the terms: p + p2 = 342 Solving p + p2 = 342 Solving for variable 'p'. Reorder the terms: -342 + p + p2 = 342 + -342 Combine like terms: 342 + -342 = 0 -342 + p + p2 = 0 Factor a trinomial. (-19 + -1p)(18 + -1p) = 0Subproblem 1
Set the factor '(-19 + -1p)' equal to zero and attempt to solve: Simplifying -19 + -1p = 0 Solving -19 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1p = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1p = 0 + 19 -1p = 0 + 19 Combine like terms: 0 + 19 = 19 -1p = 19 Divide each side by '-1'. p = -19 Simplifying p = -19Subproblem 2
Set the factor '(18 + -1p)' equal to zero and attempt to solve: Simplifying 18 + -1p = 0 Solving 18 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1p = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1p = 0 + -18 -1p = 0 + -18 Combine like terms: 0 + -18 = -18 -1p = -18 Divide each side by '-1'. p = 18 Simplifying p = 18Solution
p = {-19, 18}
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