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Simplifying x(x + 2y) * dy + (x2 + -1y2) * dy = 0 Reorder the terms for easier multiplication: x * dy(x + 2y) + (x2 + -1y2) * dy = 0 Multiply x * dy dxy(x + 2y) + (x2 + -1y2) * dy = 0 (x * dxy + 2y * dxy) + (x2 + -1y2) * dy = 0 Reorder the terms: (2dxy2 + dx2y) + (x2 + -1y2) * dy = 0 (2dxy2 + dx2y) + (x2 + -1y2) * dy = 0 Reorder the terms for easier multiplication: 2dxy2 + dx2y + dy(x2 + -1y2) = 0 2dxy2 + dx2y + (x2 * dy + -1y2 * dy) = 0 2dxy2 + dx2y + (dx2y + -1dy3) = 0 Combine like terms: dx2y + dx2y = 2dx2y 2dxy2 + 2dx2y + -1dy3 = 0 Solving 2dxy2 + 2dx2y + -1dy3 = 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), 'dy'. dy(2xy + 2x2 + -1y2) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(2xy + 2x2 + -1y2)' equal to zero and attempt to solve: Simplifying 2xy + 2x2 + -1y2 = 0 Solving 2xy + 2x2 + -1y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2xy' to each side of the equation. 2xy + 2x2 + -2xy + -1y2 = 0 + -2xy Reorder the terms: 2xy + -2xy + 2x2 + -1y2 = 0 + -2xy Combine like terms: 2xy + -2xy = 0 0 + 2x2 + -1y2 = 0 + -2xy 2x2 + -1y2 = 0 + -2xy Remove the zero: 2x2 + -1y2 = -2xy Add '-2x2' to each side of the equation. 2x2 + -2x2 + -1y2 = -2xy + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + -1y2 = -2xy + -2x2 -1y2 = -2xy + -2x2 Add 'y2' to each side of the equation. -1y2 + y2 = -2xy + -2x2 + y2 Combine like terms: -1y2 + y2 = 0 0 = -2xy + -2x2 + y2 Simplifying 0 = -2xy + -2x2 + y2 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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