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Simplifying 20c2 + 33cd + 7d2 = 0 Reorder the terms: 33cd + 20c2 + 7d2 = 0 Solving 33cd + 20c2 + 7d2 = 0 Solving for variable 'c'. Factor a trinomial. (4c + d)(5c + 7d) = 0Subproblem 1
Set the factor '(4c + d)' equal to zero and attempt to solve: Simplifying 4c + d = 0 Solving 4c + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. 4c + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 4c + 0 = 0 + -1d 4c = 0 + -1d Remove the zero: 4c = -1d Divide each side by '4'. c = -0.25d Simplifying c = -0.25dSubproblem 2
Set the factor '(5c + 7d)' equal to zero and attempt to solve: Simplifying 5c + 7d = 0 Solving 5c + 7d = 0 Move all terms containing c to the left, all other terms to the right. Add '-7d' to each side of the equation. 5c + 7d + -7d = 0 + -7d Combine like terms: 7d + -7d = 0 5c + 0 = 0 + -7d 5c = 0 + -7d Remove the zero: 5c = -7d Divide each side by '5'. c = -1.4d Simplifying c = -1.4dSolution
c = {-0.25d, -1.4d}
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