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Simplifying 9p3 + -25p2 + -6p = 0 Reorder the terms: -6p + -25p2 + 9p3 = 0 Solving -6p + -25p2 + 9p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-6 + -25p + 9p2) = 0 Factor a trinomial. p((-2 + -9p)(3 + -1p)) = 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 '(-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 = -0.2222222222Subproblem 3
Set the factor '(3 + -1p)' equal to zero and attempt to solve: Simplifying 3 + -1p = 0 Solving 3 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 0 + -3 -1p = 0 + -3 Combine like terms: 0 + -3 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3Solution
p = {0, -0.2222222222, 3}
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