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Simplifying 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. (-11 + -1p)(1 + -1p) = 0Subproblem 1
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 = -11Subproblem 2
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 = 1Solution
p = {-11, 1}
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