X^2+4y^2=7+3xy

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Solution for X^2+4y^2=7+3xy equation: 


Simplifying
X2 + 4y2 = 7 + 3xy

Solving
X2 + 4y2 = 7 + 3xy

Solving for variable 'X'.

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

Add '-4y2' to each side of the equation.
X2 + 4y2 + -4y2 = 7 + 3xy + -4y2

Combine like terms: 4y2 + -4y2 = 0
X2 + 0 = 7 + 3xy + -4y2
X2 = 7 + 3xy + -4y2

Simplifying
X2 = 7 + 3xy + -4y2

Reorder the terms:
-7 + X2 + -3xy + 4y2 = 7 + 3xy + -4y2 + -7 + -3xy + 4y2

Reorder the terms:
-7 + X2 + -3xy + 4y2 = 7 + -7 + 3xy + -3xy + -4y2 + 4y2

Combine like terms: 7 + -7 = 0
-7 + X2 + -3xy + 4y2 = 0 + 3xy + -3xy + -4y2 + 4y2
-7 + X2 + -3xy + 4y2 = 3xy + -3xy + -4y2 + 4y2

Combine like terms: 3xy + -3xy = 0
-7 + X2 + -3xy + 4y2 = 0 + -4y2 + 4y2
-7 + X2 + -3xy + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
-7 + X2 + -3xy + 4y2 = 0

The solution to this equation could not be determined.

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