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Simplifying 6r2 + 13rp + 6p2 = 0 Reorder the terms: 13pr + 6p2 + 6r2 = 0 Solving 13pr + 6p2 + 6r2 = 0 Solving for variable 'p'. Factor a trinomial. (3p + 2r)(2p + 3r) = 0Subproblem 1
Set the factor '(3p + 2r)' equal to zero and attempt to solve: Simplifying 3p + 2r = 0 Solving 3p + 2r = 0 Move all terms containing p to the left, all other terms to the right. Add '-2r' to each side of the equation. 3p + 2r + -2r = 0 + -2r Combine like terms: 2r + -2r = 0 3p + 0 = 0 + -2r 3p = 0 + -2r Remove the zero: 3p = -2r Divide each side by '3'. p = -0.6666666667r Simplifying p = -0.6666666667rSubproblem 2
Set the factor '(2p + 3r)' equal to zero and attempt to solve: Simplifying 2p + 3r = 0 Solving 2p + 3r = 0 Move all terms containing p to the left, all other terms to the right. Add '-3r' to each side of the equation. 2p + 3r + -3r = 0 + -3r Combine like terms: 3r + -3r = 0 2p + 0 = 0 + -3r 2p = 0 + -3r Remove the zero: 2p = -3r Divide each side by '2'. p = -1.5r Simplifying p = -1.5rSolution
p = {-0.6666666667r, -1.5r}
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