2(y-4x^2)dx+xdy=0

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Solution for 2(y-4x^2)dx+xdy=0 equation:


Simplifying
2(y + -4x2) * dx + xdy = 0

Reorder the terms:
2(-4x2 + y) * dx + xdy = 0

Reorder the terms for easier multiplication:
2dx(-4x2 + y) + xdy = 0
(-4x2 * 2dx + y * 2dx) + xdy = 0

Reorder the terms:
(2dxy + -8dx3) + xdy = 0
(2dxy + -8dx3) + xdy = 0

Reorder the terms:
2dxy + dxy + -8dx3 = 0

Combine like terms: 2dxy + dxy = 3dxy
3dxy + -8dx3 = 0

Solving
3dxy + -8dx3 = 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(3y + -8x2) = 0

Subproblem 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 '(3y + -8x2)' equal to zero and attempt to solve: Simplifying 3y + -8x2 = 0 Reorder the terms: -8x2 + 3y = 0 Solving -8x2 + 3y = 0 Move all terms containing d to the left, all other terms to the right. Add '8x2' to each side of the equation. -8x2 + 8x2 + 3y = 0 + 8x2 Combine like terms: -8x2 + 8x2 = 0 0 + 3y = 0 + 8x2 3y = 0 + 8x2 Remove the zero: 3y = 8x2 Add '-3y' to each side of the equation. 3y + -3y = 8x2 + -3y Combine like terms: 3y + -3y = 0 0 = 8x2 + -3y Simplifying 0 = 8x2 + -3y 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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