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Simplifying p2 = 10p + 11 Reorder the terms: p2 = 11 + 10p Solving p2 = 11 + 10p Solving for variable 'p'. Reorder the terms: -11 + -10p + p2 = 11 + 10p + -11 + -10p Reorder the terms: -11 + -10p + p2 = 11 + -11 + 10p + -10p Combine like terms: 11 + -11 = 0 -11 + -10p + p2 = 0 + 10p + -10p -11 + -10p + p2 = 10p + -10p Combine like terms: 10p + -10p = 0 -11 + -10p + p2 = 0 Factor a trinomial. (-1 + -1p)(11 + -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 '(11 + -1p)' equal to zero and attempt to solve: Simplifying 11 + -1p = 0 Solving 11 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1p = 0 + -11 -1p = 0 + -11 Combine like terms: 0 + -11 = -11 -1p = -11 Divide each side by '-1'. p = 11 Simplifying p = 11Solution
p = {-1, 11}
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