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Simplifying 12p + 16p3 + 8p = 0 Reorder the terms: 12p + 8p + 16p3 = 0 Combine like terms: 12p + 8p = 20p 20p + 16p3 = 0 Solving 20p + 16p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4p'. 4p(5 + 4p2) = 0 Ignore the factor 4.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 '(5 + 4p2)' equal to zero and attempt to solve: Simplifying 5 + 4p2 = 0 Solving 5 + 4p2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4p2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4p2 = 0 + -5 4p2 = 0 + -5 Combine like terms: 0 + -5 = -5 4p2 = -5 Divide each side by '4'. p2 = -1.25 Simplifying p2 = -1.25 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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