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Simplifying 14p = p2 + -51 Reorder the terms: 14p = -51 + p2 Solving 14p = -51 + p2 Solving for variable 'p'. Reorder the terms: 51 + 14p + -1p2 = -51 + p2 + 51 + -1p2 Reorder the terms: 51 + 14p + -1p2 = -51 + 51 + p2 + -1p2 Combine like terms: -51 + 51 = 0 51 + 14p + -1p2 = 0 + p2 + -1p2 51 + 14p + -1p2 = p2 + -1p2 Combine like terms: p2 + -1p2 = 0 51 + 14p + -1p2 = 0 Factor a trinomial. (17 + -1p)(3 + p) = 0Subproblem 1
Set the factor '(17 + -1p)' equal to zero and attempt to solve: Simplifying 17 + -1p = 0 Solving 17 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1p = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1p = 0 + -17 -1p = 0 + -17 Combine like terms: 0 + -17 = -17 -1p = -17 Divide each side by '-1'. p = 17 Simplifying p = 17Subproblem 2
Set the factor '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3Solution
p = {17, -3}
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