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Simplifying 14c2 + -33cr + 18r2 = 0 Reorder the terms: -33cr + 14c2 + 18r2 = 0 Solving -33cr + 14c2 + 18r2 = 0 Solving for variable 'c'. Factor a trinomial. (2c + -3r)(7c + -6r) = 0Subproblem 1
Set the factor '(2c + -3r)' equal to zero and attempt to solve: Simplifying 2c + -3r = 0 Solving 2c + -3r = 0 Move all terms containing c to the left, all other terms to the right. Add '3r' to each side of the equation. 2c + -3r + 3r = 0 + 3r Combine like terms: -3r + 3r = 0 2c + 0 = 0 + 3r 2c = 0 + 3r Remove the zero: 2c = 3r Divide each side by '2'. c = 1.5r Simplifying c = 1.5rSubproblem 2
Set the factor '(7c + -6r)' equal to zero and attempt to solve: Simplifying 7c + -6r = 0 Solving 7c + -6r = 0 Move all terms containing c to the left, all other terms to the right. Add '6r' to each side of the equation. 7c + -6r + 6r = 0 + 6r Combine like terms: -6r + 6r = 0 7c + 0 = 0 + 6r 7c = 0 + 6r Remove the zero: 7c = 6r Divide each side by '7'. c = 0.8571428571r Simplifying c = 0.8571428571rSolution
c = {1.5r, 0.8571428571r}
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