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Simplifying p2 = 8p + 9 Reorder the terms: p2 = 9 + 8p Solving p2 = 9 + 8p Solving for variable 'p'. Reorder the terms: -9 + -8p + p2 = 9 + 8p + -9 + -8p Reorder the terms: -9 + -8p + p2 = 9 + -9 + 8p + -8p Combine like terms: 9 + -9 = 0 -9 + -8p + p2 = 0 + 8p + -8p -9 + -8p + p2 = 8p + -8p Combine like terms: 8p + -8p = 0 -9 + -8p + p2 = 0 Factor a trinomial. (-1 + -1p)(9 + -1p) = 0Subproblem 1
Set the factor '(-1 + -1p)' equal to zero and attempt to solve: Simplifying -1 + -1p = 0 Solving -1 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1p = 0 + 1 -1p = 0 + 1 Combine like terms: 0 + 1 = 1 -1p = 1 Divide each side by '-1'. p = -1 Simplifying p = -1Subproblem 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 = {-1, 9}
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