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Simplifying (2x + -3y) * dx + (2y + -3x) * dy = x2 + y2 Reorder the terms for easier multiplication: dx(2x + -3y) + (2y + -3x) * dy = x2 + y2 (2x * dx + -3y * dx) + (2y + -3x) * dy = x2 + y2 Reorder the terms: (-3dxy + 2dx2) + (2y + -3x) * dy = x2 + y2 (-3dxy + 2dx2) + (2y + -3x) * dy = x2 + y2 Reorder the terms: -3dxy + 2dx2 + (-3x + 2y) * dy = x2 + y2 Reorder the terms for easier multiplication: -3dxy + 2dx2 + dy(-3x + 2y) = x2 + y2 -3dxy + 2dx2 + (-3x * dy + 2y * dy) = x2 + y2 -3dxy + 2dx2 + (-3dxy + 2dy2) = x2 + y2 Reorder the terms: -3dxy + -3dxy + 2dx2 + 2dy2 = x2 + y2 Combine like terms: -3dxy + -3dxy = -6dxy -6dxy + 2dx2 + 2dy2 = x2 + y2 Solving -6dxy + 2dx2 + 2dy2 = x2 + y2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Reorder the terms: -6dxy + 2dx2 + 2dy2 + -1x2 + -1y2 = x2 + -1x2 + y2 + -1y2 Combine like terms: x2 + -1x2 = 0 -6dxy + 2dx2 + 2dy2 + -1x2 + -1y2 = 0 + y2 + -1y2 -6dxy + 2dx2 + 2dy2 + -1x2 + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -6dxy + 2dx2 + 2dy2 + -1x2 + -1y2 = 0 The solution to this equation could not be determined.
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