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Simplifying p2 = -5p + 66 Reorder the terms: p2 = 66 + -5p Solving p2 = 66 + -5p Solving for variable 'p'. Reorder the terms: -66 + 5p + p2 = 66 + -5p + -66 + 5p Reorder the terms: -66 + 5p + p2 = 66 + -66 + -5p + 5p Combine like terms: 66 + -66 = 0 -66 + 5p + p2 = 0 + -5p + 5p -66 + 5p + p2 = -5p + 5p Combine like terms: -5p + 5p = 0 -66 + 5p + p2 = 0 Factor a trinomial. (-11 + -1p)(6 + -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 '(6 + -1p)' equal to zero and attempt to solve: Simplifying 6 + -1p = 0 Solving 6 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1p = 0 + -6 -1p = 0 + -6 Combine like terms: 0 + -6 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6Solution
p = {-11, 6}
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