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Simplifying (x + -2y2) * DX + -1(x2 + -3xy) * dy = 0 Reorder the terms for easier multiplication: DX(x + -2y2) + -1(x2 + -3xy) * dy = 0 (x * DX + -2y2 * DX) + -1(x2 + -3xy) * dy = 0 (xDX + -2y2DX) + -1(x2 + -3xy) * dy = 0 Reorder the terms: xDX + -2y2DX + -1(-3xy + x2) * dy = 0 Reorder the terms for easier multiplication: xDX + -2y2DX + -1dy(-3xy + x2) = 0 xDX + -2y2DX + (-3xy * -1dy + x2 * -1dy) = 0 xDX + -2y2DX + (3dxy2 + -1dx2y) = 0 Reorder the terms: 3dxy2 + -1dx2y + xDX + -2y2DX = 0 Solving 3dxy2 + -1dx2y + xDX + -2y2DX = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1xDX' to each side of the equation. 3dxy2 + -1dx2y + xDX + -1xDX + -2y2DX = 0 + -1xDX Combine like terms: xDX + -1xDX = 0 3dxy2 + -1dx2y + 0 + -2y2DX = 0 + -1xDX 3dxy2 + -1dx2y + -2y2DX = 0 + -1xDX Remove the zero: 3dxy2 + -1dx2y + -2y2DX = -1xDX Add '2y2DX' to each side of the equation. 3dxy2 + -1dx2y + -2y2DX + 2y2DX = -1xDX + 2y2DX Combine like terms: -2y2DX + 2y2DX = 0 3dxy2 + -1dx2y + 0 = -1xDX + 2y2DX 3dxy2 + -1dx2y = -1xDX + 2y2DX Reorder the terms: 3dxy2 + -1dx2y + xDX + -2y2DX = -1xDX + xDX + 2y2DX + -2y2DX Combine like terms: -1xDX + xDX = 0 3dxy2 + -1dx2y + xDX + -2y2DX = 0 + 2y2DX + -2y2DX 3dxy2 + -1dx2y + xDX + -2y2DX = 2y2DX + -2y2DX Combine like terms: 2y2DX + -2y2DX = 0 3dxy2 + -1dx2y + xDX + -2y2DX = 0 The solution to this equation could not be determined.
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