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Simplifying 20c2 + -39cd + 18d2 = 0 Reorder the terms: -39cd + 20c2 + 18d2 = 0 Solving -39cd + 20c2 + 18d2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + -6d)(4c + -3d) = 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 '(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 = 0.75dSolution
c = {1.2d, 0.75d}
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