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Simplifying 9p3 + 43p2 + -10p = 0 Reorder the terms: -10p + 43p2 + 9p3 = 0 Solving -10p + 43p2 + 9p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-10 + 43p + 9p2) = 0 Factor a trinomial. p((-5 + -1p)(2 + -9p)) = 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 + -1p)' equal to zero and attempt to solve: Simplifying -5 + -1p = 0 Solving -5 + -1p = 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 + -1p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1p = 0 + 5 -1p = 0 + 5 Combine like terms: 0 + 5 = 5 -1p = 5 Divide each side by '-1'. p = -5 Simplifying p = -5Subproblem 3
Set the factor '(2 + -9p)' equal to zero and attempt to solve: Simplifying 2 + -9p = 0 Solving 2 + -9p = 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 + -9p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9p = 0 + -2 -9p = 0 + -2 Combine like terms: 0 + -2 = -2 -9p = -2 Divide each side by '-9'. p = 0.2222222222 Simplifying p = 0.2222222222Solution
p = {0, -5, 0.2222222222}
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