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Simplifying 20p6 + -29p3r + 6r2 = 0 Reorder the terms: -29p3r + 20p6 + 6r2 = 0 Solving -29p3r + 20p6 + 6r2 = 0 Solving for variable 'p'. Factor a trinomial. (5p3 + -6r)(4p3 + -1r) = 0Subproblem 1
Set the factor '(5p3 + -6r)' equal to zero and attempt to solve: Simplifying 5p3 + -6r = 0 Solving 5p3 + -6r = 0 Move all terms containing p to the left, all other terms to the right. Add '6r' to each side of the equation. 5p3 + -6r + 6r = 0 + 6r Combine like terms: -6r + 6r = 0 5p3 + 0 = 0 + 6r 5p3 = 0 + 6r Remove the zero: 5p3 = 6r Divide each side by '5'. p3 = 1.2r Simplifying p3 = 1.2r 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 '(4p3 + -1r)' equal to zero and attempt to solve: Simplifying 4p3 + -1r = 0 Solving 4p3 + -1r = 0 Move all terms containing p to the left, all other terms to the right. Add 'r' to each side of the equation. 4p3 + -1r + r = 0 + r Combine like terms: -1r + r = 0 4p3 + 0 = 0 + r 4p3 = 0 + r Remove the zero: 4p3 = r Divide each side by '4'. p3 = 0.25r Simplifying p3 = 0.25r 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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