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Simplifying 20c2 + -23cd + 6d2 = 0 Reorder the terms: -23cd + 20c2 + 6d2 = 0 Solving -23cd + 20c2 + 6d2 = 0 Solving for variable 'c'. Factor a trinomial. (4c + -3d)(5c + -2d) = 0Subproblem 1
Set the factor '(4c + -3d)' equal to zero and attempt to solve: Simplifying 4c + -3d = 0 Solving 4c + -3d = 0 Move all terms containing c to the left, all other terms to the right. Add '3d' to each side of the equation. 4c + -3d + 3d = 0 + 3d Combine like terms: -3d + 3d = 0 4c + 0 = 0 + 3d 4c = 0 + 3d Remove the zero: 4c = 3d Divide each side by '4'. c = 0.75d Simplifying c = 0.75dSubproblem 2
Set the factor '(5c + -2d)' equal to zero and attempt to solve: Simplifying 5c + -2d = 0 Solving 5c + -2d = 0 Move all terms containing c to the left, all other terms to the right. Add '2d' to each side of the equation. 5c + -2d + 2d = 0 + 2d Combine like terms: -2d + 2d = 0 5c + 0 = 0 + 2d 5c = 0 + 2d Remove the zero: 5c = 2d Divide each side by '5'. c = 0.4d Simplifying c = 0.4dSolution
c = {0.75d, 0.4d}
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