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Simplifying 0 = p2 + -6p + -55 Reorder the terms: 0 = -55 + -6p + p2 Solving 0 = -55 + -6p + p2 Solving for variable 'p'. Combine like terms: 0 + 55 = 55 55 + 6p + -1p2 = -55 + -6p + p2 + 55 + 6p + -1p2 Reorder the terms: 55 + 6p + -1p2 = -55 + 55 + -6p + 6p + p2 + -1p2 Combine like terms: -55 + 55 = 0 55 + 6p + -1p2 = 0 + -6p + 6p + p2 + -1p2 55 + 6p + -1p2 = -6p + 6p + p2 + -1p2 Combine like terms: -6p + 6p = 0 55 + 6p + -1p2 = 0 + p2 + -1p2 55 + 6p + -1p2 = p2 + -1p2 Combine like terms: p2 + -1p2 = 0 55 + 6p + -1p2 = 0 Factor a trinomial. (11 + -1p)(5 + p) = 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 '(5 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5Solution
p = {11, -5}
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