(6x^2-7y^2)dx-14xy=0

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Solution for (6x^2-7y^2)dx-14xy=0 equation: 


Simplifying
(6x2 + -7y2) * dx + -14xy = 0

Reorder the terms for easier multiplication:
dx(6x2 + -7y2) + -14xy = 0
(6x2 * dx + -7y2 * dx) + -14xy = 0

Reorder the terms:
(-7dxy2 + 6dx3) + -14xy = 0
(-7dxy2 + 6dx3) + -14xy = 0

Solving
-7dxy2 + 6dx3 + -14xy = 0

Solving for variable 'd'.

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

Add '14xy' to each side of the equation.
-7dxy2 + 6dx3 + -14xy + 14xy = 0 + 14xy

Combine like terms: -14xy + 14xy = 0
-7dxy2 + 6dx3 + 0 = 0 + 14xy
-7dxy2 + 6dx3 = 0 + 14xy
Remove the zero:
-7dxy2 + 6dx3 = 14xy

Combine like terms: 14xy + -14xy = 0
-7dxy2 + 6dx3 + -14xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7dy2 + 6dx2 + -14y) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(-7dy2 + 6dx2 + -14y)' equal to zero and attempt to solve:

Simplifying
-7dy2 + 6dx2 + -14y = 0

Reorder the terms:
6dx2 + -7dy2 + -14y = 0

Solving
6dx2 + -7dy2 + -14y = 0

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

Add '14y' to each side of the equation.
6dx2 + -7dy2 + -14y + 14y = 0 + 14y

Combine like terms: -14y + 14y = 0
6dx2 + -7dy2 + 0 = 0 + 14y
6dx2 + -7dy2 = 0 + 14y
Remove the zero:
6dx2 + -7dy2 = 14y

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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