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Simplifying (x3) * dy + -1(y2)(x + -4) * dx = 0 Multiply x3 * dy dx3y + -1(y2)(x + -4) * dx = 0 Reorder the terms: dx3y + -1y2(-4 + x) * dx = 0 Reorder the terms for easier multiplication: dx3y + -1y2 * dx(-4 + x) = 0 Multiply y2 * dx dx3y + -1dxy2(-4 + x) = 0 dx3y + (-4 * -1dxy2 + x * -1dxy2) = 0 dx3y + (4dxy2 + -1dx2y2) = 0 Reorder the terms: 4dxy2 + -1dx2y2 + dx3y = 0 Solving 4dxy2 + -1dx2y2 + dx3y = 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(4y + -1xy + x2) = 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 '(4y + -1xy + x2)' equal to zero and attempt to solve: Simplifying 4y + -1xy + x2 = 0 Reorder the terms: -1xy + x2 + 4y = 0 Solving -1xy + x2 + 4y = 0 Move all terms containing d to the left, all other terms to the right. Add 'xy' to each side of the equation. -1xy + x2 + xy + 4y = 0 + xy Reorder the terms: -1xy + xy + x2 + 4y = 0 + xy Combine like terms: -1xy + xy = 0 0 + x2 + 4y = 0 + xy x2 + 4y = 0 + xy Remove the zero: x2 + 4y = xy Add '-1x2' to each side of the equation. x2 + -1x2 + 4y = xy + -1x2 Combine like terms: x2 + -1x2 = 0 0 + 4y = xy + -1x2 4y = xy + -1x2 Add '-4y' to each side of the equation. 4y + -4y = xy + -1x2 + -4y Combine like terms: 4y + -4y = 0 0 = xy + -1x2 + -4y Simplifying 0 = xy + -1x2 + -4y 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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