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Simplifying 7p3 + 39p2 + 20p = 0 Reorder the terms: 20p + 39p2 + 7p3 = 0 Solving 20p + 39p2 + 7p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(20 + 39p + 7p2) = 0 Factor a trinomial. p((5 + p)(4 + 7p)) = 0Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 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 = -5Subproblem 3
Set the factor '(4 + 7p)' equal to zero and attempt to solve: Simplifying 4 + 7p = 0 Solving 4 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7p = 0 + -4 7p = 0 + -4 Combine like terms: 0 + -4 = -4 7p = -4 Divide each side by '7'. p = -0.5714285714 Simplifying p = -0.5714285714Solution
p = {0, -5, -0.5714285714}
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