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Simplifying ydx + (x + 2xy2 + -2y) = 0 Remove parenthesis around (x + 2xy2 + -2y) dxy + x + 2xy2 + -2y = 0 Solving dxy + x + 2xy2 + -2y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. dxy + x + 2xy2 + -1x + -2y = 0 + -1x Reorder the terms: dxy + x + -1x + 2xy2 + -2y = 0 + -1x Combine like terms: x + -1x = 0 dxy + 0 + 2xy2 + -2y = 0 + -1x dxy + 2xy2 + -2y = 0 + -1x Remove the zero: dxy + 2xy2 + -2y = -1x Add '-2xy2' to each side of the equation. dxy + 2xy2 + -2xy2 + -2y = -1x + -2xy2 Combine like terms: 2xy2 + -2xy2 = 0 dxy + 0 + -2y = -1x + -2xy2 dxy + -2y = -1x + -2xy2 Add '2y' to each side of the equation. dxy + -2y + 2y = -1x + -2xy2 + 2y Combine like terms: -2y + 2y = 0 dxy + 0 = -1x + -2xy2 + 2y dxy = -1x + -2xy2 + 2y Divide each side by 'xy'. d = -1y-1 + -2y + 2x-1 Simplifying d = -1y-1 + -2y + 2x-1 Reorder the terms: d = 2x-1 + -1y-1 + -2y
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