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Simplifying 3p3 + 12p = 0 Reorder the terms: 12p + 3p3 = 0 Solving 12p + 3p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p'. 3p(4 + p2) = 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 + p2)' equal to zero and attempt to solve: Simplifying 4 + p2 = 0 Solving 4 + p2 = 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 + p2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + p2 = 0 + -4 p2 = 0 + -4 Combine like terms: 0 + -4 = -4 p2 = -4 Simplifying p2 = -4 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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