(y+x^6)dx+(y)dx=0

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Solution for (y+x^6)dx+(y)dx=0 equation: 


Simplifying
(y + x6) * dx + (y) * dx = 0

Reorder the terms:
(x6 + y) * dx + (y) * dx = 0

Reorder the terms for easier multiplication:
dx(x6 + y) + (y) * dx = 0
(x6 * dx + y * dx) + (y) * dx = 0

Reorder the terms:
(dxy + dx7) + (y) * dx = 0
(dxy + dx7) + (y) * dx = 0

Multiply y * dx
dxy + dx7 + dxy = 0

Reorder the terms:
dxy + dxy + dx7 = 0

Combine like terms: dxy + dxy = 2dxy
2dxy + dx7 = 0

Solving
2dxy + dx7 = 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(2y + x6) = 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 '(2y + x6)' equal to zero and attempt to solve:

Simplifying
2y + x6 = 0

Reorder the terms:
x6 + 2y = 0

Solving
x6 + 2y = 0

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

Add '-1x6' to each side of the equation.
x6 + -1x6 + 2y = 0 + -1x6

Combine like terms: x6 + -1x6 = 0
0 + 2y = 0 + -1x6
2y = 0 + -1x6
Remove the zero:
2y = -1x6

Add '-2y' to each side of the equation.
2y + -2y = -1x6 + -2y

Combine like terms: 2y + -2y = 0
0 = -1x6 + -2y

Simplifying
0 = -1x6 + -2y

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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