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Simplifying 18p2 + 53pr + -35r2 = 0 Reorder the terms: 53pr + 18p2 + -35r2 = 0 Solving 53pr + 18p2 + -35r2 = 0 Solving for variable 'p'. Factor a trinomial. (9p + -5r)(2p + 7r) = 0Subproblem 1
Set the factor '(9p + -5r)' equal to zero and attempt to solve: Simplifying 9p + -5r = 0 Solving 9p + -5r = 0 Move all terms containing p to the left, all other terms to the right. Add '5r' to each side of the equation. 9p + -5r + 5r = 0 + 5r Combine like terms: -5r + 5r = 0 9p + 0 = 0 + 5r 9p = 0 + 5r Remove the zero: 9p = 5r Divide each side by '9'. p = 0.5555555556r Simplifying p = 0.5555555556rSubproblem 2
Set the factor '(2p + 7r)' equal to zero and attempt to solve: Simplifying 2p + 7r = 0 Solving 2p + 7r = 0 Move all terms containing p to the left, all other terms to the right. Add '-7r' to each side of the equation. 2p + 7r + -7r = 0 + -7r Combine like terms: 7r + -7r = 0 2p + 0 = 0 + -7r 2p = 0 + -7r Remove the zero: 2p = -7r Divide each side by '2'. p = -3.5r Simplifying p = -3.5rSolution
p = {0.5555555556r, -3.5r}
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