(y-x)(y+11x)=a^2-b^2

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Solution for (y-x)(y+11x)=a^2-b^2 equation:


Simplifying
(y + -1x)(y + 11x) = a2 + -1b2

Reorder the terms:
(-1x + y)(y + 11x) = a2 + -1b2

Reorder the terms:
(-1x + y)(11x + y) = a2 + -1b2

Multiply (-1x + y) * (11x + y)
(-1x * (11x + y) + y(11x + y)) = a2 + -1b2
((11x * -1x + y * -1x) + y(11x + y)) = a2 + -1b2

Reorder the terms:
((-1xy + -11x2) + y(11x + y)) = a2 + -1b2
((-1xy + -11x2) + y(11x + y)) = a2 + -1b2
(-1xy + -11x2 + (11x * y + y * y)) = a2 + -1b2
(-1xy + -11x2 + (11xy + y2)) = a2 + -1b2

Reorder the terms:
(-1xy + 11xy + -11x2 + y2) = a2 + -1b2

Combine like terms: -1xy + 11xy = 10xy
(10xy + -11x2 + y2) = a2 + -1b2

Solving
10xy + -11x2 + y2 = a2 + -1b2

Solving for variable 'x'.

Reorder the terms:
-1a2 + b2 + 10xy + -11x2 + y2 = a2 + -1b2 + -1a2 + b2

Reorder the terms:
-1a2 + b2 + 10xy + -11x2 + y2 = a2 + -1a2 + -1b2 + b2

Combine like terms: a2 + -1a2 = 0
-1a2 + b2 + 10xy + -11x2 + y2 = 0 + -1b2 + b2
-1a2 + b2 + 10xy + -11x2 + y2 = -1b2 + b2

Combine like terms: -1b2 + b2 = 0
-1a2 + b2 + 10xy + -11x2 + y2 = 0

The solution to this equation could not be determined.

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