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Simplifying 18c2 + -27cd + 10d2 = 0 Reorder the terms: -27cd + 18c2 + 10d2 = 0 Solving -27cd + 18c2 + 10d2 = 0 Solving for variable 'c'. Factor a trinomial. (6c + -5d)(3c + -2d) = 0Subproblem 1
Set the factor '(6c + -5d)' equal to zero and attempt to solve: Simplifying 6c + -5d = 0 Solving 6c + -5d = 0 Move all terms containing c to the left, all other terms to the right. Add '5d' to each side of the equation. 6c + -5d + 5d = 0 + 5d Combine like terms: -5d + 5d = 0 6c + 0 = 0 + 5d 6c = 0 + 5d Remove the zero: 6c = 5d Divide each side by '6'. c = 0.8333333333d Simplifying c = 0.8333333333dSubproblem 2
Set the factor '(3c + -2d)' equal to zero and attempt to solve: Simplifying 3c + -2d = 0 Solving 3c + -2d = 0 Move all terms containing c to the left, all other terms to the right. Add '2d' to each side of the equation. 3c + -2d + 2d = 0 + 2d Combine like terms: -2d + 2d = 0 3c + 0 = 0 + 2d 3c = 0 + 2d Remove the zero: 3c = 2d Divide each side by '3'. c = 0.6666666667d Simplifying c = 0.6666666667dSolution
c = {0.8333333333d, 0.6666666667d}
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