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Simplifying 342 = p2 + -1p Reorder the terms: 342 = -1p + p2 Solving 342 = -1p + p2 Solving for variable 'p'. Reorder the terms: 342 + p + -1p2 = -1p + p + p2 + -1p2 Combine like terms: -1p + p = 0 342 + p + -1p2 = 0 + p2 + -1p2 342 + p + -1p2 = p2 + -1p2 Combine like terms: p2 + -1p2 = 0 342 + p + -1p2 = 0 Factor a trinomial. (19 + -1p)(18 + p) = 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 + p)' equal to zero and attempt to solve: Simplifying 18 + p = 0 Solving 18 + p = 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 + p = 0 + -18 Combine like terms: 18 + -18 = 0 0 + p = 0 + -18 p = 0 + -18 Combine like terms: 0 + -18 = -18 p = -18 Simplifying p = -18Solution
p = {19, -18}
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