X^2+3xy-y^2-4xy+6y^2=

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Solution for X^2+3xy-y^2-4xy+6y^2= equation:


Simplifying
X2 + 3xy + -1y2 + -4xy + 6y2 = 0

Reorder the terms:
X2 + 3xy + -4xy + -1y2 + 6y2 = 0

Combine like terms: 3xy + -4xy = -1xy
X2 + -1xy + -1y2 + 6y2 = 0

Combine like terms: -1y2 + 6y2 = 5y2
X2 + -1xy + 5y2 = 0

Solving
X2 + -1xy + 5y2 = 0

Solving for variable 'X'.

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

Add 'xy' to each side of the equation.
X2 + -1xy + xy + 5y2 = 0 + xy

Combine like terms: -1xy + xy = 0
X2 + 0 + 5y2 = 0 + xy
X2 + 5y2 = 0 + xy
Remove the zero:
X2 + 5y2 = xy

Add '-5y2' to each side of the equation.
X2 + 5y2 + -5y2 = xy + -5y2

Combine like terms: 5y2 + -5y2 = 0
X2 + 0 = xy + -5y2
X2 = xy + -5y2

Simplifying
X2 = xy + -5y2

Reorder the terms:
X2 + -1xy + 5y2 = xy + -1xy + -5y2 + 5y2

Combine like terms: xy + -1xy = 0
X2 + -1xy + 5y2 = 0 + -5y2 + 5y2
X2 + -1xy + 5y2 = -5y2 + 5y2

Combine like terms: -5y2 + 5y2 = 0
X2 + -1xy + 5y2 = 0

The solution to this equation could not be determined.

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