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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. (-6 + -1p)(11 + -1p) = 0Subproblem 1
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 = -6Subproblem 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 = {-6, 11}
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