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Simplifying 3c2 + -7cd + 2d2 = 0 Reorder the terms: -7cd + 3c2 + 2d2 = 0 Solving -7cd + 3c2 + 2d2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -2d)(3c + -1d) = 0Subproblem 1
Set the factor '(c + -2d)' equal to zero and attempt to solve: Simplifying c + -2d = 0 Solving c + -2d = 0 Move all terms containing c to the left, all other terms to the right. Add '2d' to each side of the equation. c + -2d + 2d = 0 + 2d Combine like terms: -2d + 2d = 0 c + 0 = 0 + 2d c = 0 + 2d Remove the zero: c = 2d Simplifying c = 2dSubproblem 2
Set the factor '(3c + -1d)' equal to zero and attempt to solve: Simplifying 3c + -1d = 0 Solving 3c + -1d = 0 Move all terms containing c to the left, all other terms to the right. Add 'd' to each side of the equation. 3c + -1d + d = 0 + d Combine like terms: -1d + d = 0 3c + 0 = 0 + d 3c = 0 + d Remove the zero: 3c = d Divide each side by '3'. c = 0.3333333333d Simplifying c = 0.3333333333dSolution
c = {2d, 0.3333333333d}
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