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Simplifying 10c2 + -29cr + 10r2 = 0 Reorder the terms: -29cr + 10c2 + 10r2 = 0 Solving -29cr + 10c2 + 10r2 = 0 Solving for variable 'c'. Factor a trinomial. (2c + -5r)(5c + -2r) = 0Subproblem 1
Set the factor '(2c + -5r)' equal to zero and attempt to solve: Simplifying 2c + -5r = 0 Solving 2c + -5r = 0 Move all terms containing c to the left, all other terms to the right. Add '5r' to each side of the equation. 2c + -5r + 5r = 0 + 5r Combine like terms: -5r + 5r = 0 2c + 0 = 0 + 5r 2c = 0 + 5r Remove the zero: 2c = 5r Divide each side by '2'. c = 2.5r Simplifying c = 2.5rSubproblem 2
Set the factor '(5c + -2r)' equal to zero and attempt to solve: Simplifying 5c + -2r = 0 Solving 5c + -2r = 0 Move all terms containing c to the left, all other terms to the right. Add '2r' to each side of the equation. 5c + -2r + 2r = 0 + 2r Combine like terms: -2r + 2r = 0 5c + 0 = 0 + 2r 5c = 0 + 2r Remove the zero: 5c = 2r Divide each side by '5'. c = 0.4r Simplifying c = 0.4rSolution
c = {2.5r, 0.4r}
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