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Simplifying 18c2 + -39cr + 20r2 = 0 Reorder the terms: -39cr + 18c2 + 20r2 = 0 Solving -39cr + 18c2 + 20r2 = 0 Solving for variable 'c'. Factor a trinomial. (3c + -4r)(6c + -5r) = 0Subproblem 1
Set the factor '(3c + -4r)' equal to zero and attempt to solve: Simplifying 3c + -4r = 0 Solving 3c + -4r = 0 Move all terms containing c to the left, all other terms to the right. Add '4r' to each side of the equation. 3c + -4r + 4r = 0 + 4r Combine like terms: -4r + 4r = 0 3c + 0 = 0 + 4r 3c = 0 + 4r Remove the zero: 3c = 4r Divide each side by '3'. c = 1.333333333r Simplifying c = 1.333333333rSubproblem 2
Set the factor '(6c + -5r)' equal to zero and attempt to solve: Simplifying 6c + -5r = 0 Solving 6c + -5r = 0 Move all terms containing c to the left, all other terms to the right. Add '5r' to each side of the equation. 6c + -5r + 5r = 0 + 5r Combine like terms: -5r + 5r = 0 6c + 0 = 0 + 5r 6c = 0 + 5r Remove the zero: 6c = 5r Divide each side by '6'. c = 0.8333333333r Simplifying c = 0.8333333333rSolution
c = {1.333333333r, 0.8333333333r}
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