X^2+y^2+3xy-31=0

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Solution for X^2+y^2+3xy-31=0 equation:


Simplifying
X2 + y2 + 3xy + -31 = 0

Reorder the terms:
-31 + X2 + 3xy + y2 = 0

Solving
-31 + X2 + 3xy + y2 = 0

Solving for variable 'X'.

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

Add '31' to each side of the equation.
-31 + X2 + 3xy + 31 + y2 = 0 + 31

Reorder the terms:
-31 + 31 + X2 + 3xy + y2 = 0 + 31

Combine like terms: -31 + 31 = 0
0 + X2 + 3xy + y2 = 0 + 31
X2 + 3xy + y2 = 0 + 31

Combine like terms: 0 + 31 = 31
X2 + 3xy + y2 = 31

Add '-3xy' to each side of the equation.
X2 + 3xy + -3xy + y2 = 31 + -3xy

Combine like terms: 3xy + -3xy = 0
X2 + 0 + y2 = 31 + -3xy
X2 + y2 = 31 + -3xy

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 31 + -3xy + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 31 + -3xy + -1y2
X2 = 31 + -3xy + -1y2

Simplifying
X2 = 31 + -3xy + -1y2

Reorder the terms:
-31 + X2 + 3xy + y2 = 31 + -3xy + -1y2 + -31 + 3xy + y2

Reorder the terms:
-31 + X2 + 3xy + y2 = 31 + -31 + -3xy + 3xy + -1y2 + y2

Combine like terms: 31 + -31 = 0
-31 + X2 + 3xy + y2 = 0 + -3xy + 3xy + -1y2 + y2
-31 + X2 + 3xy + y2 = -3xy + 3xy + -1y2 + y2

Combine like terms: -3xy + 3xy = 0
-31 + X2 + 3xy + y2 = 0 + -1y2 + y2
-31 + X2 + 3xy + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-31 + X2 + 3xy + y2 = 0

The solution to this equation could not be determined.

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