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Simplifying y(xy + x2y2) * dx + x(xy + -1x2y2) = 0 Reorder the terms for easier multiplication: y * dx(xy + x2y2) + x(xy + -1x2y2) = 0 Multiply y * dx dxy(xy + x2y2) + x(xy + -1x2y2) = 0 (xy * dxy + x2y2 * dxy) + x(xy + -1x2y2) = 0 (dx2y2 + dx3y3) + x(xy + -1x2y2) = 0 dx2y2 + dx3y3 + (xy * x + -1x2y2 * x) = 0 dx2y2 + dx3y3 + (x2y + -1x3y2) = 0 Solving dx2y2 + dx3y3 + x2y + -1x3y2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1x2y' to each side of the equation. dx2y2 + dx3y3 + x2y + -1x2y + -1x3y2 = 0 + -1x2y Combine like terms: x2y + -1x2y = 0 dx2y2 + dx3y3 + 0 + -1x3y2 = 0 + -1x2y dx2y2 + dx3y3 + -1x3y2 = 0 + -1x2y Remove the zero: dx2y2 + dx3y3 + -1x3y2 = -1x2y Add 'x3y2' to each side of the equation. dx2y2 + dx3y3 + -1x3y2 + x3y2 = -1x2y + x3y2 Combine like terms: -1x3y2 + x3y2 = 0 dx2y2 + dx3y3 + 0 = -1x2y + x3y2 dx2y2 + dx3y3 = -1x2y + x3y2 Reorder the terms: dx2y2 + dx3y3 + x2y + -1x3y2 = -1x2y + x2y + x3y2 + -1x3y2 Combine like terms: -1x2y + x2y = 0 dx2y2 + dx3y3 + x2y + -1x3y2 = 0 + x3y2 + -1x3y2 dx2y2 + dx3y3 + x2y + -1x3y2 = x3y2 + -1x3y2 Combine like terms: x3y2 + -1x3y2 = 0 dx2y2 + dx3y3 + x2y + -1x3y2 = 0 Factor out the Greatest Common Factor (GCF), 'x2y'. x2y(dy + dxy2 + 1 + -1xy) = 0Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x2y' to each side of the equation. x2y + -1x2y = 0 + -1x2y Remove the zero: 0 = -1x2y Simplifying 0 = -1x2y 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 '(dy + dxy2 + 1 + -1xy)' equal to zero and attempt to solve: Simplifying dy + dxy2 + 1 + -1xy = 0 Reorder the terms: 1 + dxy2 + dy + -1xy = 0 Solving 1 + dxy2 + dy + -1xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + dxy2 + dy + -1 + -1xy = 0 + -1 Reorder the terms: 1 + -1 + dxy2 + dy + -1xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + dxy2 + dy + -1xy = 0 + -1 dxy2 + dy + -1xy = 0 + -1 Combine like terms: 0 + -1 = -1 dxy2 + dy + -1xy = -1 Add 'xy' to each side of the equation. dxy2 + dy + -1xy + xy = -1 + xy Combine like terms: -1xy + xy = 0 dxy2 + dy + 0 = -1 + xy dxy2 + dy = -1 + xy 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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