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Simplifying 3p2r2 + 6pr + p = 0 Reorder the terms: p + 6pr + 3p2r2 = 0 Solving p + 6pr + 3p2r2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(1 + 6r + 3pr2) = 0Subproblem 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 '(1 + 6r + 3pr2)' equal to zero and attempt to solve: Simplifying 1 + 6r + 3pr2 = 0 Reorder the terms: 1 + 3pr2 + 6r = 0 Solving 1 + 3pr2 + 6r = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3pr2 + -1 + 6r = 0 + -1 Reorder the terms: 1 + -1 + 3pr2 + 6r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3pr2 + 6r = 0 + -1 3pr2 + 6r = 0 + -1 Combine like terms: 0 + -1 = -1 3pr2 + 6r = -1 Add '-6r' to each side of the equation. 3pr2 + 6r + -6r = -1 + -6r Combine like terms: 6r + -6r = 0 3pr2 + 0 = -1 + -6r 3pr2 = -1 + -6r Divide each side by '3r2'. p = -0.3333333333r-2 + -2r-1 Simplifying p = -0.3333333333r-2 + -2r-1Solution
p = {0, -0.3333333333r-2 + -2r-1}
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