fx^2-12xy+5y^2=16

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Solution for fx^2-12xy+5y^2=16 equation:


Simplifying
fx2 + -12xy + 5y2 = 16

Solving
fx2 + -12xy + 5y2 = 16

Solving for variable 'f'.

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

Add '12xy' to each side of the equation.
fx2 + -12xy + 12xy + 5y2 = 16 + 12xy

Combine like terms: -12xy + 12xy = 0
fx2 + 0 + 5y2 = 16 + 12xy
fx2 + 5y2 = 16 + 12xy

Add '-5y2' to each side of the equation.
fx2 + 5y2 + -5y2 = 16 + 12xy + -5y2

Combine like terms: 5y2 + -5y2 = 0
fx2 + 0 = 16 + 12xy + -5y2
fx2 = 16 + 12xy + -5y2

Divide each side by 'x2'.
f = 16x-2 + 12x-1y + -5x-2y2

Simplifying
f = 16x-2 + 12x-1y + -5x-2y2

Reorder the terms:
f = 16x-2 + -5x-2y2 + 12x-1y

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