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Simplifying (2xy) * dy + -1(x2 + y2 + 1) * dx = 0 Remove parenthesis around (2xy) 2xy * dy + -1(x2 + y2 + 1) * dx = 0 Multiply xy * dy 2dxy2 + -1(x2 + y2 + 1) * dx = 0 Reorder the terms: 2dxy2 + -1(1 + x2 + y2) * dx = 0 Reorder the terms for easier multiplication: 2dxy2 + -1dx(1 + x2 + y2) = 0 2dxy2 + (1 * -1dx + x2 * -1dx + y2 * -1dx) = 0 Reorder the terms: 2dxy2 + (-1dx + -1dxy2 + -1dx3) = 0 2dxy2 + (-1dx + -1dxy2 + -1dx3) = 0 Reorder the terms: -1dx + 2dxy2 + -1dxy2 + -1dx3 = 0 Combine like terms: 2dxy2 + -1dxy2 = 1dxy2 -1dx + 1dxy2 + -1dx3 = 0 Solving -1dx + 1dxy2 + -1dx3 = 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), 'dx'. dx(-1 + y2 + -1x2) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(-1 + y2 + -1x2)' equal to zero and attempt to solve: Simplifying -1 + y2 + -1x2 = 0 Reorder the terms: -1 + -1x2 + y2 = 0 Solving -1 + -1x2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1x2 + 1 + y2 = 0 + 1 Reorder the terms: -1 + 1 + -1x2 + y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x2 + y2 = 0 + 1 -1x2 + y2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1x2 + y2 = 1 Add 'x2' to each side of the equation. -1x2 + x2 + y2 = 1 + x2 Combine like terms: -1x2 + x2 = 0 0 + y2 = 1 + x2 y2 = 1 + x2 Add '-1y2' to each side of the equation. y2 + -1y2 = 1 + x2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = 1 + x2 + -1y2 Simplifying 0 = 1 + x2 + -1y2 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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