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Simplifying (x2 + -4y2) + (2x2 + xy) * dy = 0 Remove parenthesis around (x2 + -4y2) x2 + -4y2 + (2x2 + xy) * dy = 0 Reorder the terms: x2 + -4y2 + (xy + 2x2) * dy = 0 Reorder the terms for easier multiplication: x2 + -4y2 + dy(xy + 2x2) = 0 x2 + -4y2 + (xy * dy + 2x2 * dy) = 0 x2 + -4y2 + (dxy2 + 2dx2y) = 0 Reorder the terms: dxy2 + 2dx2y + x2 + -4y2 = 0 Solving dxy2 + 2dx2y + x2 + -4y2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1x2' to each side of the equation. dxy2 + 2dx2y + x2 + -1x2 + -4y2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 dxy2 + 2dx2y + 0 + -4y2 = 0 + -1x2 dxy2 + 2dx2y + -4y2 = 0 + -1x2 Remove the zero: dxy2 + 2dx2y + -4y2 = -1x2 Add '4y2' to each side of the equation. dxy2 + 2dx2y + -4y2 + 4y2 = -1x2 + 4y2 Combine like terms: -4y2 + 4y2 = 0 dxy2 + 2dx2y + 0 = -1x2 + 4y2 dxy2 + 2dx2y = -1x2 + 4y2 Reorder the terms: dxy2 + 2dx2y + x2 + -4y2 = -1x2 + x2 + 4y2 + -4y2 Combine like terms: -1x2 + x2 = 0 dxy2 + 2dx2y + x2 + -4y2 = 0 + 4y2 + -4y2 dxy2 + 2dx2y + x2 + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 dxy2 + 2dx2y + x2 + -4y2 = 0 The solution to this equation could not be determined.
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