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Simplifying y(6y2 + -1x + 1) + 2xdy = 0 Reorder the terms: y(1 + -1x + 6y2) + 2xdy = 0 (1 * y + -1x * y + 6y2 * y) + 2xdy = 0 Reorder the terms: (-1xy + 1y + 6y3) + 2xdy = 0 (-1xy + 1y + 6y3) + 2xdy = 0 Reorder the terms: 2dxy + -1xy + 1y + 6y3 = 0 Solving 2dxy + -1xy + 1y + 6y3 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'xy' to each side of the equation. 2dxy + -1xy + 1y + xy + 6y3 = 0 + xy Reorder the terms: 2dxy + -1xy + xy + 1y + 6y3 = 0 + xy Combine like terms: -1xy + xy = 0 2dxy + 0 + 1y + 6y3 = 0 + xy 2dxy + 1y + 6y3 = 0 + xy Remove the zero: 2dxy + 1y + 6y3 = xy Add '-1y' to each side of the equation. 2dxy + 1y + -1y + 6y3 = xy + -1y Combine like terms: 1y + -1y = 0 2dxy + 0 + 6y3 = xy + -1y 2dxy + 6y3 = xy + -1y Add '-6y3' to each side of the equation. 2dxy + 6y3 + -6y3 = xy + -1y + -6y3 Combine like terms: 6y3 + -6y3 = 0 2dxy + 0 = xy + -1y + -6y3 2dxy = xy + -1y + -6y3 Divide each side by '2xy'. d = 0.5 + -0.5x-1 + -3x-1y2 Simplifying d = 0.5 + -0.5x-1 + -3x-1y2
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