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Simplifying 16p4 + -24p3 = 0 Reorder the terms: -24p3 + 16p4 = 0 Solving -24p3 + 16p4 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '8p3'. 8p3(-3 + 2p) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'p3' equal to zero and attempt to solve: Simplifying p3 = 0 Solving p3 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3 + 2p)' equal to zero and attempt to solve: Simplifying -3 + 2p = 0 Solving -3 + 2p = 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 + 2p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2p = 0 + 3 2p = 0 + 3 Combine like terms: 0 + 3 = 3 2p = 3 Divide each side by '2'. p = 1.5 Simplifying p = 1.5Solution
p = {1.5}
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