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Simplifying dy2 + dy * dx + 2dx2 = 0 Multiply dy * dx dy2 + d2xy + 2dx2 = 0 Reorder the terms: 2dx2 + dy2 + d2xy = 0 Solving 2dx2 + dy2 + d2xy = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(2x2 + y2 + dxy) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(2x2 + y2 + dxy)' equal to zero and attempt to solve: Simplifying 2x2 + y2 + dxy = 0 Reorder the terms: dxy + 2x2 + y2 = 0 Solving dxy + 2x2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x2' to each side of the equation. dxy + 2x2 + -2x2 + y2 = 0 + -2x2 Combine like terms: 2x2 + -2x2 = 0 dxy + 0 + y2 = 0 + -2x2 dxy + y2 = 0 + -2x2 Remove the zero: dxy + y2 = -2x2 Add '-1y2' to each side of the equation. dxy + y2 + -1y2 = -2x2 + -1y2 Combine like terms: y2 + -1y2 = 0 dxy + 0 = -2x2 + -1y2 dxy = -2x2 + -1y2 Divide each side by 'xy'. d = -2xy-1 + -1x-1y Simplifying d = -2xy-1 + -1x-1y Reorder the terms: d = -1x-1y + -2xy-1Solution
d = {0, -1x-1y + -2xy-1}
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