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Simplifying p2 = 14p + -24 Reorder the terms: p2 = -24 + 14p Solving p2 = -24 + 14p Solving for variable 'p'. Reorder the terms: 24 + -14p + p2 = -24 + 14p + 24 + -14p Reorder the terms: 24 + -14p + p2 = -24 + 24 + 14p + -14p Combine like terms: -24 + 24 = 0 24 + -14p + p2 = 0 + 14p + -14p 24 + -14p + p2 = 14p + -14p Combine like terms: 14p + -14p = 0 24 + -14p + p2 = 0 Factor a trinomial. (2 + -1p)(12 + -1p) = 0Subproblem 1
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 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 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Subproblem 2
Set the factor '(12 + -1p)' equal to zero and attempt to solve: Simplifying 12 + -1p = 0 Solving 12 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1p = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1p = 0 + -12 -1p = 0 + -12 Combine like terms: 0 + -12 = -12 -1p = -12 Divide each side by '-1'. p = 12 Simplifying p = 12Solution
p = {2, 12}
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