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Simplifying 7p3 + 38p2 + -24p = 0 Reorder the terms: -24p + 38p2 + 7p3 = 0 Solving -24p + 38p2 + 7p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-24 + 38p + 7p2) = 0 Factor a trinomial. p((-6 + -1p)(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 '(-6 + -1p)' equal to zero and attempt to solve: Simplifying -6 + -1p = 0 Solving -6 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1p = 0 + 6 -1p = 0 + 6 Combine like terms: 0 + 6 = 6 -1p = 6 Divide each side by '-1'. p = -6 Simplifying p = -6Subproblem 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, -6, 0.5714285714}
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