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Simplifying 10p6 + -13p3 + 4r2 = 0 Reorder the terms: -13p3 + 10p6 + 4r2 = 0 Solving -13p3 + 10p6 + 4r2 = 0 Solving for variable 'p'. Factor a trinomial. (5p3 + -4r)(2p3 + -1r) = 0Subproblem 1
Set the factor '(5p3 + -4r)' equal to zero and attempt to solve: Simplifying 5p3 + -4r = 0 Solving 5p3 + -4r = 0 Move all terms containing p to the left, all other terms to the right. Add '4r' to each side of the equation. 5p3 + -4r + 4r = 0 + 4r Combine like terms: -4r + 4r = 0 5p3 + 0 = 0 + 4r 5p3 = 0 + 4r Remove the zero: 5p3 = 4r Divide each side by '5'. p3 = 0.8r Simplifying p3 = 0.8r 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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