(ax-by)(ax-by)+11(ax-by)-60=0

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Solution for (ax-by)(ax-by)+11(ax-by)-60=0 equation: 


Simplifying
(ax + -1by)(ax + -1by) + 11(ax + -1by) + -60 = 0

Multiply (ax + -1by) * (ax + -1by)
(ax(ax + -1by) + -1by * (ax + -1by)) + 11(ax + -1by) + -60 = 0
((ax * ax + -1by * ax) + -1by * (ax + -1by)) + 11(ax + -1by) + -60 = 0

Reorder the terms:
((-1abxy + a2x2) + -1by * (ax + -1by)) + 11(ax + -1by) + -60 = 0
((-1abxy + a2x2) + -1by * (ax + -1by)) + 11(ax + -1by) + -60 = 0
(-1abxy + a2x2 + (ax * -1by + -1by * -1by)) + 11(ax + -1by) + -60 = 0
(-1abxy + a2x2 + (-1abxy + 1b2y2)) + 11(ax + -1by) + -60 = 0

Reorder the terms:
(-1abxy + -1abxy + a2x2 + 1b2y2) + 11(ax + -1by) + -60 = 0

Combine like terms: -1abxy + -1abxy = -2abxy
(-2abxy + a2x2 + 1b2y2) + 11(ax + -1by) + -60 = 0
-2abxy + a2x2 + 1b2y2 + (ax * 11 + -1by * 11) + -60 = 0
-2abxy + a2x2 + 1b2y2 + (11ax + -11by) + -60 = 0

Reorder the terms:
-60 + -2abxy + 11ax + a2x2 + -11by + 1b2y2 = 0

Solving
-60 + -2abxy + 11ax + a2x2 + -11by + 1b2y2 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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