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Simplifying (xy + xlog(y)) * dx + (xy + xlog(x)) * dy = 0 Multiply glox * y (xy + gloxy) * dx + (xy + xlog(x)) * dy = 0 Reorder the terms: (gloxy + xy) * dx + (xy + xlog(x)) * dy = 0 Reorder the terms for easier multiplication: dx(gloxy + xy) + (xy + xlog(x)) * dy = 0 (gloxy * dx + xy * dx) + (xy + xlog(x)) * dy = 0 (dglox2y + dx2y) + (xy + xlog(x)) * dy = 0 Multiply glox * x dglox2y + dx2y + (xy + glox2) * dy = 0 Reorder the terms: dglox2y + dx2y + (glox2 + xy) * dy = 0 Reorder the terms for easier multiplication: dglox2y + dx2y + dy(glox2 + xy) = 0 dglox2y + dx2y + (glox2 * dy + xy * dy) = 0 dglox2y + dx2y + (dglox2y + dxy2) = 0 Reorder the terms: dglox2y + dglox2y + dxy2 + dx2y = 0 Combine like terms: dglox2y + dglox2y = 2dglox2y 2dglox2y + dxy2 + dx2y = 0 Solving 2dglox2y + dxy2 + dx2y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'dxy'. dxy(2glox + y + x) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2glox + y + x)' equal to zero and attempt to solve: Simplifying 2glox + y + x = 0 Reorder the terms: 2glox + x + y = 0 Solving 2glox + x + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-2glox' to each side of the equation. 2glox + x + -2glox + y = 0 + -2glox Reorder the terms: 2glox + -2glox + x + y = 0 + -2glox Combine like terms: 2glox + -2glox = 0 0 + x + y = 0 + -2glox x + y = 0 + -2glox Remove the zero: x + y = -2glox Add '-1x' to each side of the equation. x + -1x + y = -2glox + -1x Combine like terms: x + -1x = 0 0 + y = -2glox + -1x y = -2glox + -1x Add '-1y' to each side of the equation. y + -1y = -2glox + -1x + -1y Combine like terms: y + -1y = 0 0 = -2glox + -1x + -1y Simplifying 0 = -2glox + -1x + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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