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Simplifying 30c2 + -11cd + -30d2 = 0 Reorder the terms: -11cd + 30c2 + -30d2 = 0 Solving -11cd + 30c2 + -30d2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + -6d)(6c + 5d) = 0Subproblem 1
Set the factor '(5c + -6d)' equal to zero and attempt to solve: Simplifying 5c + -6d = 0 Solving 5c + -6d = 0 Move all terms containing c to the left, all other terms to the right. Add '6d' to each side of the equation. 5c + -6d + 6d = 0 + 6d Combine like terms: -6d + 6d = 0 5c + 0 = 0 + 6d 5c = 0 + 6d Remove the zero: 5c = 6d Divide each side by '5'. c = 1.2d Simplifying c = 1.2dSubproblem 2
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 = -0.8333333333dSolution
c = {1.2d, -0.8333333333d}
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