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Simplifying 8p6 + -10p3r + 3r2 = 0 Reorder the terms: -10p3r + 8p6 + 3r2 = 0 Solving -10p3r + 8p6 + 3r2 = 0 Solving for variable 'p'. Factor a trinomial. (4p3 + -3r)(2p3 + -1r) = 0Subproblem 1
Set the factor '(4p3 + -3r)' equal to zero and attempt to solve: Simplifying 4p3 + -3r = 0 Solving 4p3 + -3r = 0 Move all terms containing p to the left, all other terms to the right. Add '3r' to each side of the equation. 4p3 + -3r + 3r = 0 + 3r Combine like terms: -3r + 3r = 0 4p3 + 0 = 0 + 3r 4p3 = 0 + 3r Remove the zero: 4p3 = 3r Divide each side by '4'. p3 = 0.75r Simplifying p3 = 0.75r 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 + -1r)' equal to zero and attempt to solve: Simplifying 2p3 + -1r = 0 Solving 2p3 + -1r = 0 Move all terms containing p to the left, all other terms to the right. Add 'r' to each side of the equation. 2p3 + -1r + r = 0 + r Combine like terms: -1r + r = 0 2p3 + 0 = 0 + r 2p3 = 0 + r Remove the zero: 2p3 = r Divide each side by '2'. p3 = 0.5r Simplifying p3 = 0.5r 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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