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Simplifying 2c2 + -5cr + 2r2 = 0 Reorder the terms: -5cr + 2c2 + 2r2 = 0 Solving -5cr + 2c2 + 2r2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -2r)(2c + -1r) = 0Subproblem 1
Set the factor '(c + -2r)' equal to zero and attempt to solve: Simplifying c + -2r = 0 Solving c + -2r = 0 Move all terms containing c to the left, all other terms to the right. Add '2r' to each side of the equation. c + -2r + 2r = 0 + 2r Combine like terms: -2r + 2r = 0 c + 0 = 0 + 2r c = 0 + 2r Remove the zero: c = 2r Simplifying c = 2rSubproblem 2
Set the factor '(2c + -1r)' equal to zero and attempt to solve: Simplifying 2c + -1r = 0 Solving 2c + -1r = 0 Move all terms containing c to the left, all other terms to the right. Add 'r' to each side of the equation. 2c + -1r + r = 0 + r Combine like terms: -1r + r = 0 2c + 0 = 0 + r 2c = 0 + r Remove the zero: 2c = r Divide each side by '2'. c = 0.5r Simplifying c = 0.5rSolution
c = {2r, 0.5r}
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