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Simplifying 4r2 + -12rp + 9p2 = 0 Reorder the terms: -12pr + 9p2 + 4r2 = 0 Solving -12pr + 9p2 + 4r2 = 0 Solving for variable 'p'. Factor a trinomial. (3p + -2r)(3p + -2r) = 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 '(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 = 0.6666666667rSolution
p = {0.6666666667r, 0.6666666667r}
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