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Simplifying p2 = -35 + -12p Solving p2 = -35 + -12p Solving for variable 'p'. Reorder the terms: 35 + 12p + p2 = -35 + -12p + 35 + 12p Reorder the terms: 35 + 12p + p2 = -35 + 35 + -12p + 12p Combine like terms: -35 + 35 = 0 35 + 12p + p2 = 0 + -12p + 12p 35 + 12p + p2 = -12p + 12p Combine like terms: -12p + 12p = 0 35 + 12p + p2 = 0 Factor a trinomial. (7 + p)(5 + p) = 0Subproblem 1
Set the factor '(7 + p)' equal to zero and attempt to solve: Simplifying 7 + p = 0 Solving 7 + p = 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 + p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + p = 0 + -7 p = 0 + -7 Combine like terms: 0 + -7 = -7 p = -7 Simplifying p = -7Subproblem 2
Set the factor '(5 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5Solution
p = {-7, -5}
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