(-2x^3+1y)dx+(1x+7y^2)dy=0

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Solution for (-2x^3+1y)dx+(1x+7y^2)dy=0 equation: 


Simplifying
(-2x3 + 1y) * dx + (1x + 7y2) * dy = 0

Reorder the terms for easier multiplication:
dx(-2x3 + 1y) + (1x + 7y2) * dy = 0
(-2x3 * dx + 1y * dx) + (1x + 7y2) * dy = 0

Reorder the terms:
(1dxy + -2dx4) + (1x + 7y2) * dy = 0
(1dxy + -2dx4) + (1x + 7y2) * dy = 0

Reorder the terms for easier multiplication:
1dxy + -2dx4 + dy(1x + 7y2) = 0
1dxy + -2dx4 + (1x * dy + 7y2 * dy) = 0
1dxy + -2dx4 + (1dxy + 7dy3) = 0

Reorder the terms:
1dxy + 1dxy + -2dx4 + 7dy3 = 0

Combine like terms: 1dxy + 1dxy = 2dxy
2dxy + -2dx4 + 7dy3 = 0

Solving
2dxy + -2dx4 + 7dy3 = 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), 'd'.
d(2xy + -2x4 + 7y3) = 0


Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

Move all terms containing d to the left, all other terms to the right.

Simplifying
d = 0

Subproblem 2
Set the factor '(2xy + -2x4 + 7y3)' equal to zero and attempt to solve:

Simplifying
2xy + -2x4 + 7y3 = 0

Solving
2xy + -2x4 + 7y3 = 0

Move all terms containing d to the left, all other terms to the right.

Add '-2xy' to each side of the equation.
2xy + -2x4 + -2xy + 7y3 = 0 + -2xy

Reorder the terms:
2xy + -2xy + -2x4 + 7y3 = 0 + -2xy

Combine like terms: 2xy + -2xy = 0
0 + -2x4 + 7y3 = 0 + -2xy
-2x4 + 7y3 = 0 + -2xy
Remove the zero:
-2x4 + 7y3 = -2xy

Add '2x4' to each side of the equation.
-2x4 + 2x4 + 7y3 = -2xy + 2x4

Combine like terms: -2x4 + 2x4 = 0
0 + 7y3 = -2xy + 2x4
7y3 = -2xy + 2x4

Add '-7y3' to each side of the equation.
7y3 + -7y3 = -2xy + 2x4 + -7y3

Combine like terms: 7y3 + -7y3 = 0
0 = -2xy + 2x4 + -7y3

Simplifying
0 = -2xy + 2x4 + -7y3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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