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Simplifying p2 = 18p + -81 Reorder the terms: p2 = -81 + 18p Solving p2 = -81 + 18p Solving for variable 'p'. Reorder the terms: 81 + -18p + p2 = -81 + 18p + 81 + -18p Reorder the terms: 81 + -18p + p2 = -81 + 81 + 18p + -18p Combine like terms: -81 + 81 = 0 81 + -18p + p2 = 0 + 18p + -18p 81 + -18p + p2 = 18p + -18p Combine like terms: 18p + -18p = 0 81 + -18p + p2 = 0 Factor a trinomial. (9 + -1p)(9 + -1p) = 0Subproblem 1
Set the factor '(9 + -1p)' equal to zero and attempt to solve: Simplifying 9 + -1p = 0 Solving 9 + -1p = 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 + -1p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1p = 0 + -9 -1p = 0 + -9 Combine like terms: 0 + -9 = -9 -1p = -9 Divide each side by '-1'. p = 9 Simplifying p = 9Subproblem 2
Set the factor '(9 + -1p)' equal to zero and attempt to solve: Simplifying 9 + -1p = 0 Solving 9 + -1p = 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 + -1p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1p = 0 + -9 -1p = 0 + -9 Combine like terms: 0 + -9 = -9 -1p = -9 Divide each side by '-1'. p = 9 Simplifying p = 9Solution
p = {9, 9}
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