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Simplifying 5c2 + 11cd + 2d2 = 0 Reorder the terms: 11cd + 5c2 + 2d2 = 0 Solving 11cd + 5c2 + 2d2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + d)(c + 2d) = 0Subproblem 1
Set the factor '(5c + d)' equal to zero and attempt to solve: Simplifying 5c + d = 0 Solving 5c + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. 5c + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 5c + 0 = 0 + -1d 5c = 0 + -1d Remove the zero: 5c = -1d Divide each side by '5'. c = -0.2d Simplifying c = -0.2dSubproblem 2
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 = -2dSolution
c = {-0.2d, -2d}
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