(x^2-2y^2)dc+(xy)dy=0

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Solution for (x^2-2y^2)dc+(xy)dy=0 equation: 


Simplifying
(x2 + -2y2) * dc + (xy) * dy = 0

Reorder the terms for easier multiplication:
cd(x2 + -2y2) + (xy) * dy = 0
(x2 * cd + -2y2 * cd) + (xy) * dy = 0
(cdx2 + -2cdy2) + (xy) * dy = 0

Multiply xy * dy
cdx2 + -2cdy2 + dxy2 = 0

Solving
cdx2 + -2cdy2 + dxy2 = 0

Solving for variable 'c'.

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

Add '-1dxy2' to each side of the equation.
cdx2 + -2cdy2 + dxy2 + -1dxy2 = 0 + -1dxy2

Combine like terms: dxy2 + -1dxy2 = 0
cdx2 + -2cdy2 + 0 = 0 + -1dxy2
cdx2 + -2cdy2 = 0 + -1dxy2
Remove the zero:
cdx2 + -2cdy2 = -1dxy2

Combine like terms: -1dxy2 + dxy2 = 0
cdx2 + -2cdy2 + dxy2 = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(cx2 + -2cy2 + xy2) = 0


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

Simplifying
d = 0

Solving
d = 0

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

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

Simplifying
0 = -1d

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 '(cx2 + -2cy2 + xy2)' equal to zero and attempt to solve:

Simplifying
cx2 + -2cy2 + xy2 = 0

Solving
cx2 + -2cy2 + xy2 = 0

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

Add '-1xy2' to each side of the equation.
cx2 + -2cy2 + xy2 + -1xy2 = 0 + -1xy2

Combine like terms: xy2 + -1xy2 = 0
cx2 + -2cy2 + 0 = 0 + -1xy2
cx2 + -2cy2 = 0 + -1xy2
Remove the zero:
cx2 + -2cy2 = -1xy2

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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