x(y-x-2)=ax^2+by^2+cxy+dx+ey

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Solution for x(y-x-2)=ax^2+by^2+cxy+dx+ey equation: 


Simplifying
x(y + -1x + -2) = ax2 + by2 + cxy + dx + ey

Reorder the terms:
x(-2 + -1x + y) = ax2 + by2 + cxy + dx + ey
(-2 * x + -1x * x + y * x) = ax2 + by2 + cxy + dx + ey

Reorder the terms:
(-2x + xy + -1x2) = ax2 + by2 + cxy + dx + ey
(-2x + xy + -1x2) = ax2 + by2 + cxy + dx + ey

Solving
-2x + xy + -1x2 = ax2 + by2 + cxy + dx + ey

Solving for variable 'x'.

Reorder the terms:
-1ax2 + -1by2 + -1cxy + -1dx + -1ey + -2x + xy + -1x2 = ax2 + by2 + cxy + dx + ey + -1ax2 + -1by2 + -1cxy + -1dx + -1ey

Reorder the terms:
-1ax2 + -1by2 + -1cxy + -1dx + -1ey + -2x + xy + -1x2 = ax2 + -1ax2 + by2 + -1by2 + cxy + -1cxy + dx + -1dx + ey + -1ey

Combine like terms: ax2 + -1ax2 = 0
-1ax2 + -1by2 + -1cxy + -1dx + -1ey + -2x + xy + -1x2 = 0 + by2 + -1by2 + cxy + -1cxy + dx + -1dx + ey + -1ey
-1ax2 + -1by2 + -1cxy + -1dx + -1ey + -2x + xy + -1x2 = by2 + -1by2 + cxy + -1cxy + dx + -1dx + ey + -1ey

Combine like terms: by2 + -1by2 = 0
-1ax2 + -1by2 + -1cxy + -1dx + -1ey + -2x + xy + -1x2 = 0 + cxy + -1cxy + dx + -1dx + ey + -1ey
-1ax2 + -1by2 + -1cxy + -1dx + -1ey + -2x + xy + -1x2 = cxy + -1cxy + dx + -1dx + ey + -1ey

Combine like terms: cxy + -1cxy = 0
-1ax2 + -1by2 + -1cxy + -1dx + -1ey + -2x + xy + -1x2 = 0 + dx + -1dx + ey + -1ey
-1ax2 + -1by2 + -1cxy + -1dx + -1ey + -2x + xy + -1x2 = dx + -1dx + ey + -1ey

Combine like terms: dx + -1dx = 0
-1ax2 + -1by2 + -1cxy + -1dx + -1ey + -2x + xy + -1x2 = 0 + ey + -1ey
-1ax2 + -1by2 + -1cxy + -1dx + -1ey + -2x + xy + -1x2 = ey + -1ey

Combine like terms: ey + -1ey = 0
-1ax2 + -1by2 + -1cxy + -1dx + -1ey + -2x + xy + -1x2 = 0

The solution to this equation could not be determined.

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