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Simplifying p2 + 18p = -81 Reorder the terms: 18p + p2 = -81 Solving 18p + p2 = -81 Solving for variable 'p'. Reorder the terms: 81 + 18p + p2 = -81 + 81 Combine like terms: -81 + 81 = 0 81 + 18p + p2 = 0 Factor a trinomial. (9 + p)(9 + p) = 0Subproblem 1
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 = -9Subproblem 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 = {-9, -9}
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