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Simplifying 8p2r2 + -25pr3 + 16pr = 0 Reorder the terms: 16pr + -25pr3 + 8p2r2 = 0 Solving 16pr + -25pr3 + 8p2r2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'pr'. pr(16 + -25r2 + 8pr) = 0Subproblem 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 '(16 + -25r2 + 8pr)' equal to zero and attempt to solve: Simplifying 16 + -25r2 + 8pr = 0 Reorder the terms: 16 + 8pr + -25r2 = 0 Solving 16 + 8pr + -25r2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 8pr + -16 + -25r2 = 0 + -16 Reorder the terms: 16 + -16 + 8pr + -25r2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 8pr + -25r2 = 0 + -16 8pr + -25r2 = 0 + -16 Combine like terms: 0 + -16 = -16 8pr + -25r2 = -16 Add '25r2' to each side of the equation. 8pr + -25r2 + 25r2 = -16 + 25r2 Combine like terms: -25r2 + 25r2 = 0 8pr + 0 = -16 + 25r2 8pr = -16 + 25r2 Divide each side by '8r'. p = -2r-1 + 3.125r Simplifying p = -2r-1 + 3.125rSolution
p = {-2r-1 + 3.125r}
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