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Simplifying 12p6 + 28p3r + -5r2 = 0 Reorder the terms: 28p3r + 12p6 + -5r2 = 0 Solving 28p3r + 12p6 + -5r2 = 0 Solving for variable 'p'. Factor a trinomial. (6p3 + -1r)(2p3 + 5r) = 0Subproblem 1
Set the factor '(6p3 + -1r)' equal to zero and attempt to solve: Simplifying 6p3 + -1r = 0 Solving 6p3 + -1r = 0 Move all terms containing p to the left, all other terms to the right. Add 'r' to each side of the equation. 6p3 + -1r + r = 0 + r Combine like terms: -1r + r = 0 6p3 + 0 = 0 + r 6p3 = 0 + r Remove the zero: 6p3 = r Divide each side by '6'. p3 = 0.1666666667r Simplifying p3 = 0.1666666667r 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 '(2p3 + 5r)' equal to zero and attempt to solve: Simplifying 2p3 + 5r = 0 Solving 2p3 + 5r = 0 Move all terms containing p to the left, all other terms to the right. Add '-5r' to each side of the equation. 2p3 + 5r + -5r = 0 + -5r Combine like terms: 5r + -5r = 0 2p3 + 0 = 0 + -5r 2p3 = 0 + -5r Remove the zero: 2p3 = -5r Divide each side by '2'. p3 = -2.5r Simplifying p3 = -2.5r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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