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Simplifying 2p3 + 30p2 + -68p = 0 Reorder the terms: -68p + 30p2 + 2p3 = 0 Solving -68p + 30p2 + 2p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p'. 2p(-34 + 15p + p2) = 0 Factor a trinomial. 2p((-17 + -1p)(2 + -1p)) = 0 Ignore the factor 2.Subproblem 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 '(-17 + -1p)' equal to zero and attempt to solve: Simplifying -17 + -1p = 0 Solving -17 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1p = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1p = 0 + 17 -1p = 0 + 17 Combine like terms: 0 + 17 = 17 -1p = 17 Divide each side by '-1'. p = -17 Simplifying p = -17Subproblem 3
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 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 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {0, -17, 2}
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