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Simplifying 3x2 + 2ydx + 2xdy = 0 Reorder the terms: 2dxy + 2dxy + 3x2 = 0 Combine like terms: 2dxy + 2dxy = 4dxy 4dxy + 3x2 = 0 Solving 4dxy + 3x2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3x2' to each side of the equation. 4dxy + 3x2 + -3x2 = 0 + -3x2 Combine like terms: 3x2 + -3x2 = 0 4dxy + 0 = 0 + -3x2 4dxy = 0 + -3x2 Remove the zero: 4dxy = -3x2 Divide each side by '4xy'. d = -0.75xy-1 Simplifying d = -0.75xy-1
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