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Simplifying p2 = 14p + -49 Reorder the terms: p2 = -49 + 14p Solving p2 = -49 + 14p Solving for variable 'p'. Reorder the terms: 49 + -14p + p2 = -49 + 14p + 49 + -14p Reorder the terms: 49 + -14p + p2 = -49 + 49 + 14p + -14p Combine like terms: -49 + 49 = 0 49 + -14p + p2 = 0 + 14p + -14p 49 + -14p + p2 = 14p + -14p Combine like terms: 14p + -14p = 0 49 + -14p + p2 = 0 Factor a trinomial. (7 + -1p)(7 + -1p) = 0Subproblem 1
Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7Subproblem 2
Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7Solution
p = {7, 7}
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