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Simplifying (y2 + -2xy + 6x) * dx + -1(x2 + -2x + 2) = 0 Reorder the terms: (6x + -2xy + y2) * dx + -1(x2 + -2x + 2) = 0 Reorder the terms for easier multiplication: dx(6x + -2xy + y2) + -1(x2 + -2x + 2) = 0 (6x * dx + -2xy * dx + y2 * dx) + -1(x2 + -2x + 2) = 0 Reorder the terms: (dxy2 + 6dx2 + -2dx2y) + -1(x2 + -2x + 2) = 0 (dxy2 + 6dx2 + -2dx2y) + -1(x2 + -2x + 2) = 0 Reorder the terms: dxy2 + 6dx2 + -2dx2y + -1(2 + -2x + x2) = 0 dxy2 + 6dx2 + -2dx2y + (2 * -1 + -2x * -1 + x2 * -1) = 0 dxy2 + 6dx2 + -2dx2y + (-2 + 2x + -1x2) = 0 Reorder the terms: -2 + dxy2 + 6dx2 + -2dx2y + 2x + -1x2 = 0 Solving -2 + dxy2 + 6dx2 + -2dx2y + 2x + -1x2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + dxy2 + 6dx2 + -2dx2y + 2x + 2 + -1x2 = 0 + 2 Reorder the terms: -2 + 2 + dxy2 + 6dx2 + -2dx2y + 2x + -1x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + dxy2 + 6dx2 + -2dx2y + 2x + -1x2 = 0 + 2 dxy2 + 6dx2 + -2dx2y + 2x + -1x2 = 0 + 2 Combine like terms: 0 + 2 = 2 dxy2 + 6dx2 + -2dx2y + 2x + -1x2 = 2 Add '-2x' to each side of the equation. dxy2 + 6dx2 + -2dx2y + 2x + -2x + -1x2 = 2 + -2x Combine like terms: 2x + -2x = 0 dxy2 + 6dx2 + -2dx2y + 0 + -1x2 = 2 + -2x dxy2 + 6dx2 + -2dx2y + -1x2 = 2 + -2x Add 'x2' to each side of the equation. dxy2 + 6dx2 + -2dx2y + -1x2 + x2 = 2 + -2x + x2 Combine like terms: -1x2 + x2 = 0 dxy2 + 6dx2 + -2dx2y + 0 = 2 + -2x + x2 dxy2 + 6dx2 + -2dx2y = 2 + -2x + x2 Reorder the terms: -2 + dxy2 + 6dx2 + -2dx2y + 2x + -1x2 = 2 + -2x + x2 + -2 + 2x + -1x2 Reorder the terms: -2 + dxy2 + 6dx2 + -2dx2y + 2x + -1x2 = 2 + -2 + -2x + 2x + x2 + -1x2 Combine like terms: 2 + -2 = 0 -2 + dxy2 + 6dx2 + -2dx2y + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2 -2 + dxy2 + 6dx2 + -2dx2y + 2x + -1x2 = -2x + 2x + x2 + -1x2 Combine like terms: -2x + 2x = 0 -2 + dxy2 + 6dx2 + -2dx2y + 2x + -1x2 = 0 + x2 + -1x2 -2 + dxy2 + 6dx2 + -2dx2y + 2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + dxy2 + 6dx2 + -2dx2y + 2x + -1x2 = 0 The solution to this equation could not be determined.
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