f(xy)=y^2-x^2+6x-12x+5

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Solution for f(xy)=y^2-x^2+6x-12x+5 equation:


Simplifying
f(xy) = y2 + -1x2 + 6x + -12x + 5

Multiply f * xy
fxy = y2 + -1x2 + 6x + -12x + 5

Reorder the terms:
fxy = 5 + 6x + -12x + -1x2 + y2

Combine like terms: 6x + -12x = -6x
fxy = 5 + -6x + -1x2 + y2

Solving
fxy = 5 + -6x + -1x2 + y2

Solving for variable 'f'.

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

Divide each side by 'xy'.
f = 5x-1y-1 + -6y-1 + -1xy-1 + x-1y

Simplifying
f = 5x-1y-1 + -6y-1 + -1xy-1 + x-1y

Reorder the terms:
f = 5x-1y-1 + x-1y + -1xy-1 + -6y-1

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