3xy-y^2=50

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Solution for 3xy-y^2=50 equation: 


Simplifying
3xy + -1y2 = 50

Solving
3xy + -1y2 = 50

Solving for variable 'x'.

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

Add 'y2' to each side of the equation.
3xy + -1y2 + y2 = 50 + y2

Combine like terms: -1y2 + y2 = 0
3xy + 0 = 50 + y2
3xy = 50 + y2

Divide each side by '3y'.
x = 16.66666667y-1 + 0.3333333333y

Simplifying
x = 16.66666667y-1 + 0.3333333333y

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