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Simplifying 6c2 + -11cd + -10d2 = 0 Reorder the terms: -11cd + 6c2 + -10d2 = 0 Solving -11cd + 6c2 + -10d2 = 0 Solving for variable 'c'. Factor a trinomial. (2c + -5d)(3c + 2d) = 0Subproblem 1
Set the factor '(2c + -5d)' equal to zero and attempt to solve: Simplifying 2c + -5d = 0 Solving 2c + -5d = 0 Move all terms containing c to the left, all other terms to the right. Add '5d' to each side of the equation. 2c + -5d + 5d = 0 + 5d Combine like terms: -5d + 5d = 0 2c + 0 = 0 + 5d 2c = 0 + 5d Remove the zero: 2c = 5d Divide each side by '2'. c = 2.5d Simplifying c = 2.5dSubproblem 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 = {2.5d, -0.6666666667d}
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