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Simplifying 16p3 + 24p = 0 Reorder the terms: 24p + 16p3 = 0 Solving 24p + 16p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '8p'. 8p(3 + 2p2) = 0 Ignore the factor 8.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 + 2p2)' equal to zero and attempt to solve: Simplifying 3 + 2p2 = 0 Solving 3 + 2p2 = 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 + 2p2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2p2 = 0 + -3 2p2 = 0 + -3 Combine like terms: 0 + -3 = -3 2p2 = -3 Divide each side by '2'. p2 = -1.5 Simplifying p2 = -1.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
p = {0}
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