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Simplifying 3p3 + 15p2 = -18p Reorder the terms: 15p2 + 3p3 = -18p Solving 15p2 + 3p3 = -18p Solving for variable 'p'. Reorder the terms: 18p + 15p2 + 3p3 = -18p + 18p Combine like terms: -18p + 18p = 0 18p + 15p2 + 3p3 = 0 Factor out the Greatest Common Factor (GCF), '3p'. 3p(6 + 5p + p2) = 0 Factor a trinomial. 3p((3 + p)(2 + p)) = 0 Ignore the factor 3.Subproblem 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 '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 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 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3Subproblem 3
Set the factor '(2 + p)' equal to zero and attempt to solve: Simplifying 2 + p = 0 Solving 2 + p = 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 + p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + p = 0 + -2 p = 0 + -2 Combine like terms: 0 + -2 = -2 p = -2 Simplifying p = -2Solution
p = {0, -3, -2}
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