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Simplifying 6p3 + -19p2 + -36p = 0 Reorder the terms: -36p + -19p2 + 6p3 = 0 Solving -36p + -19p2 + 6p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(-36 + -19p + 6p2) = 0 Factor a trinomial. p((-4 + -3p)(9 + -2p)) = 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 '(-4 + -3p)' equal to zero and attempt to solve: Simplifying -4 + -3p = 0 Solving -4 + -3p = 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 + -3p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3p = 0 + 4 -3p = 0 + 4 Combine like terms: 0 + 4 = 4 -3p = 4 Divide each side by '-3'. p = -1.333333333 Simplifying p = -1.333333333Subproblem 3
Set the factor '(9 + -2p)' equal to zero and attempt to solve: Simplifying 9 + -2p = 0 Solving 9 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2p = 0 + -9 -2p = 0 + -9 Combine like terms: 0 + -9 = -9 -2p = -9 Divide each side by '-2'. p = 4.5 Simplifying p = 4.5Solution
p = {0, -1.333333333, 4.5}
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