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Simplifying 3p3 + 42p2 + 120p = 0 Reorder the terms: 120p + 42p2 + 3p3 = 0 Solving 120p + 42p2 + 3p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p'. 3p(40 + 14p + p2) = 0 Factor a trinomial. 3p((10 + p)(4 + 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 '(10 + p)' equal to zero and attempt to solve: Simplifying 10 + p = 0 Solving 10 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + p = 0 + -10 p = 0 + -10 Combine like terms: 0 + -10 = -10 p = -10 Simplifying p = -10Subproblem 3
Set the factor '(4 + p)' equal to zero and attempt to solve: Simplifying 4 + p = 0 Solving 4 + p = 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 + p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p = 0 + -4 p = 0 + -4 Combine like terms: 0 + -4 = -4 p = -4 Simplifying p = -4Solution
p = {0, -10, -4}
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