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Simplifying 8p2 + 280 = -96p Reorder the terms: 280 + 8p2 = -96p Solving 280 + 8p2 = -96p Solving for variable 'p'. Reorder the terms: 280 + 96p + 8p2 = -96p + 96p Combine like terms: -96p + 96p = 0 280 + 96p + 8p2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(35 + 12p + p2) = 0 Factor a trinomial. 8((7 + p)(5 + p)) = 0 Ignore the factor 8.Subproblem 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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