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Simplifying 8p2 + 56p = -80 Reorder the terms: 56p + 8p2 = -80 Solving 56p + 8p2 = -80 Solving for variable 'p'. Reorder the terms: 80 + 56p + 8p2 = -80 + 80 Combine like terms: -80 + 80 = 0 80 + 56p + 8p2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(10 + 7p + p2) = 0 Factor a trinomial. 8((5 + p)(2 + p)) = 0 Ignore the factor 8.Subproblem 1
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 = -5Subproblem 2
Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Solution
p = {-5, -2}
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