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Simplifying 9p3 + -10p2 + -16p = 0 Reorder the terms: -16p + -10p2 + 9p3 = 0 Solving -16p + -10p2 + 9p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-16 + -10p + 9p2) = 0 Factor a trinomial. p((-8 + -9p)(2 + -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 '(-8 + -9p)' equal to zero and attempt to solve: Simplifying -8 + -9p = 0 Solving -8 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -9p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9p = 0 + 8 -9p = 0 + 8 Combine like terms: 0 + 8 = 8 -9p = 8 Divide each side by '-9'. p = -0.8888888889 Simplifying p = -0.8888888889Subproblem 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, -0.8888888889, 2}
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