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Simplifying 14p + p2 = 51 Solving 14p + p2 = 51 Solving for variable 'p'. Reorder the terms: -51 + 14p + p2 = 51 + -51 Combine like terms: 51 + -51 = 0 -51 + 14p + p2 = 0 Factor a trinomial. (-17 + -1p)(3 + -1p) = 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 + -1p)' equal to zero and attempt to solve: Simplifying 3 + -1p = 0 Solving 3 + -1p = 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 + -1p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 0 + -3 -1p = 0 + -3 Combine like terms: 0 + -3 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3Solution
p = {-17, 3}
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