x*2+3xy+y*2=6

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Solution for x*2+3xy+y*2=6 equation:


Simplifying
x * 2 + 3xy + y * 2 = 6

Reorder the terms for easier multiplication:
2x + 3xy + y * 2 = 6

Reorder the terms for easier multiplication:
2x + 3xy + 2y = 6

Solving
2x + 3xy + 2y = 6

Solving for variable 'x'.

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

Add '-2y' to each side of the equation.
2x + 3xy + 2y + -2y = 6 + -2y

Combine like terms: 2y + -2y = 0
2x + 3xy + 0 = 6 + -2y
2x + 3xy = 6 + -2y

Reorder the terms:
-6 + 2x + 3xy + 2y = 6 + -2y + -6 + 2y

Reorder the terms:
-6 + 2x + 3xy + 2y = 6 + -6 + -2y + 2y

Combine like terms: 6 + -6 = 0
-6 + 2x + 3xy + 2y = 0 + -2y + 2y
-6 + 2x + 3xy + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-6 + 2x + 3xy + 2y = 0

The solution to this equation could not be determined.

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