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Simplifying 2x2 + xy + 3y2dx = 0 Reorder the terms: 3dxy2 + xy + 2x2 = 0 Solving 3dxy2 + xy + 2x2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1xy' to each side of the equation. 3dxy2 + xy + -1xy + 2x2 = 0 + -1xy Combine like terms: xy + -1xy = 0 3dxy2 + 0 + 2x2 = 0 + -1xy 3dxy2 + 2x2 = 0 + -1xy Remove the zero: 3dxy2 + 2x2 = -1xy Add '-2x2' to each side of the equation. 3dxy2 + 2x2 + -2x2 = -1xy + -2x2 Combine like terms: 2x2 + -2x2 = 0 3dxy2 + 0 = -1xy + -2x2 3dxy2 = -1xy + -2x2 Divide each side by '3xy2'. d = -0.3333333333y-1 + -0.6666666667xy-2 Simplifying d = -0.3333333333y-1 + -0.6666666667xy-2 Reorder the terms: d = -0.6666666667xy-2 + -0.3333333333y-1
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