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Simplifying 27p3 + -48p = 0 Reorder the terms: -48p + 27p3 = 0 Solving -48p + 27p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p'. 3p(-16 + 9p2) = 0 Factor a difference between two squares. 3p((4 + 3p)(-4 + 3p)) = 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 '(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 '(-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 = 1.333333333Solution
p = {0, -1.333333333, 1.333333333}
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