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Simplifying 8p2r2 + -24pr3 + 16pr = 0 Reorder the terms: 16pr + -24pr3 + 8p2r2 = 0 Solving 16pr + -24pr3 + 8p2r2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '8pr'. 8pr(2 + -3r2 + pr) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'pr' equal to zero and attempt to solve: Simplifying pr = 0 Solving pr = 0 Move all terms containing p to the left, all other terms to the right. Simplifying pr = 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 '(2 + -3r2 + pr)' equal to zero and attempt to solve: Simplifying 2 + -3r2 + pr = 0 Reorder the terms: 2 + pr + -3r2 = 0 Solving 2 + pr + -3r2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + pr + -2 + -3r2 = 0 + -2 Reorder the terms: 2 + -2 + pr + -3r2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + pr + -3r2 = 0 + -2 pr + -3r2 = 0 + -2 Combine like terms: 0 + -2 = -2 pr + -3r2 = -2 Add '3r2' to each side of the equation. pr + -3r2 + 3r2 = -2 + 3r2 Combine like terms: -3r2 + 3r2 = 0 pr + 0 = -2 + 3r2 pr = -2 + 3r2 Divide each side by 'r'. p = -2r-1 + 3r Simplifying p = -2r-1 + 3rSolution
p = {-2r-1 + 3r}
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