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Simplifying 784 + -65p + p2 = 0 Solving 784 + -65p + p2 = 0 Solving for variable 'p'. Factor a trinomial. (16 + -1p)(49 + -1p) = 0Subproblem 1
Set the factor '(16 + -1p)' equal to zero and attempt to solve: Simplifying 16 + -1p = 0 Solving 16 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1p = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1p = 0 + -16 -1p = 0 + -16 Combine like terms: 0 + -16 = -16 -1p = -16 Divide each side by '-1'. p = 16 Simplifying p = 16Subproblem 2
Set the factor '(49 + -1p)' equal to zero and attempt to solve: Simplifying 49 + -1p = 0 Solving 49 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1p = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1p = 0 + -49 -1p = 0 + -49 Combine like terms: 0 + -49 = -49 -1p = -49 Divide each side by '-1'. p = 49 Simplifying p = 49Solution
p = {16, 49}
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