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Simplifying 18 = 7p + p2 Solving 18 = 7p + p2 Solving for variable 'p'. Reorder the terms: 18 + -7p + -1p2 = 7p + -7p + p2 + -1p2 Combine like terms: 7p + -7p = 0 18 + -7p + -1p2 = 0 + p2 + -1p2 18 + -7p + -1p2 = p2 + -1p2 Combine like terms: p2 + -1p2 = 0 18 + -7p + -1p2 = 0 Factor a trinomial. (2 + -1p)(9 + p) = 0Subproblem 1
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 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 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Subproblem 2
Set the factor '(9 + p)' equal to zero and attempt to solve: Simplifying 9 + p = 0 Solving 9 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + p = 0 + -9 p = 0 + -9 Combine like terms: 0 + -9 = -9 p = -9 Simplifying p = -9Solution
p = {2, -9}
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