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Simplifying 16 = p2 + -6p Reorder the terms: 16 = -6p + p2 Solving 16 = -6p + p2 Solving for variable 'p'. Reorder the terms: 16 + 6p + -1p2 = -6p + 6p + p2 + -1p2 Combine like terms: -6p + 6p = 0 16 + 6p + -1p2 = 0 + p2 + -1p2 16 + 6p + -1p2 = p2 + -1p2 Combine like terms: p2 + -1p2 = 0 16 + 6p + -1p2 = 0 Factor a trinomial. (8 + -1p)(2 + p) = 0Subproblem 1
Set the factor '(8 + -1p)' equal to zero and attempt to solve: Simplifying 8 + -1p = 0 Solving 8 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 0 + -8 -1p = 0 + -8 Combine like terms: 0 + -8 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8Subproblem 2
Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Solution
p = {8, -2}
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