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Simplifying -17p + -66 = p2 Reorder the terms: -66 + -17p = p2 Solving -66 + -17p = p2 Solving for variable 'p'. Combine like terms: p2 + -1p2 = 0 -66 + -17p + -1p2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(66 + 17p + p2) = 0 Factor a trinomial. -1((11 + p)(6 + p)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(11 + p)' equal to zero and attempt to solve: Simplifying 11 + p = 0 Solving 11 + p = 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 + p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + p = 0 + -11 p = 0 + -11 Combine like terms: 0 + -11 = -11 p = -11 Simplifying p = -11Subproblem 2
Set the factor '(6 + p)' equal to zero and attempt to solve: Simplifying 6 + p = 0 Solving 6 + p = 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 + p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + p = 0 + -6 p = 0 + -6 Combine like terms: 0 + -6 = -6 p = -6 Simplifying p = -6Solution
p = {-11, -6}
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