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Simplifying (xy3 + x) * dx + (x2y2 + x) * dy = 0 Reorder the terms: (x + xy3) * dx + (x2y2 + x) * dy = 0 Reorder the terms for easier multiplication: dx(x + xy3) + (x2y2 + x) * dy = 0 (x * dx + xy3 * dx) + (x2y2 + x) * dy = 0 (dx2 + dx2y3) + (x2y2 + x) * dy = 0 Reorder the terms: dx2 + dx2y3 + (x + x2y2) * dy = 0 Reorder the terms for easier multiplication: dx2 + dx2y3 + dy(x + x2y2) = 0 dx2 + dx2y3 + (x * dy + x2y2 * dy) = 0 dx2 + dx2y3 + (dxy + dx2y3) = 0 Reorder the terms: dxy + dx2 + dx2y3 + dx2y3 = 0 Combine like terms: dx2y3 + dx2y3 = 2dx2y3 dxy + dx2 + 2dx2y3 = 0 Solving dxy + dx2 + 2dx2y3 = 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(y + x + 2xy3) = 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 '(y + x + 2xy3)' equal to zero and attempt to solve: Simplifying y + x + 2xy3 = 0 Reorder the terms: x + 2xy3 + y = 0 Solving x + 2xy3 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + 2xy3 + -1x + y = 0 + -1x Reorder the terms: x + -1x + 2xy3 + y = 0 + -1x Combine like terms: x + -1x = 0 0 + 2xy3 + y = 0 + -1x 2xy3 + y = 0 + -1x Remove the zero: 2xy3 + y = -1x Add '-2xy3' to each side of the equation. 2xy3 + -2xy3 + y = -1x + -2xy3 Combine like terms: 2xy3 + -2xy3 = 0 0 + y = -1x + -2xy3 y = -1x + -2xy3 Add '-1y' to each side of the equation. y + -1y = -1x + -2xy3 + -1y Combine like terms: y + -1y = 0 0 = -1x + -2xy3 + -1y Simplifying 0 = -1x + -2xy3 + -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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