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Simplifying (y3 + 2x2y) * dx + -1(2x3 + 2xy2) * dy = 0 Reorder the terms: (2x2y + y3) * dx + -1(2x3 + 2xy2) * dy = 0 Reorder the terms for easier multiplication: dx(2x2y + y3) + -1(2x3 + 2xy2) * dy = 0 (2x2y * dx + y3 * dx) + -1(2x3 + 2xy2) * dy = 0 Reorder the terms: (dxy3 + 2dx3y) + -1(2x3 + 2xy2) * dy = 0 (dxy3 + 2dx3y) + -1(2x3 + 2xy2) * dy = 0 Reorder the terms: dxy3 + 2dx3y + -1(2xy2 + 2x3) * dy = 0 Reorder the terms for easier multiplication: dxy3 + 2dx3y + -1dy(2xy2 + 2x3) = 0 dxy3 + 2dx3y + (2xy2 * -1dy + 2x3 * -1dy) = 0 dxy3 + 2dx3y + (-2dxy3 + -2dx3y) = 0 Reorder the terms: dxy3 + -2dxy3 + 2dx3y + -2dx3y = 0 Combine like terms: dxy3 + -2dxy3 = -1dxy3 -1dxy3 + 2dx3y + -2dx3y = 0 Combine like terms: 2dx3y + -2dx3y = 0 -1dxy3 + 0 = 0 -1dxy3 = 0 Solving -1dxy3 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Divide each side by '-1'. dxy3 = 0 Simplifying dxy3 = 0 The solution to this equation could not be determined.
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