x^2+2xy+y^2-sqrt(2)x-3sqrt(2)y+6=0

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Solution for x^2+2xy+y^2-sqrt(2)x-3sqrt(2)y+6=0 equation:


Simplifying
x2 + 2xy + y2 + -1sqrt(2) * x + -3sqrt(2) * y + 6 = 0

Reorder the terms for easier multiplication:
x2 + 2xy + y2 + -1 * 2qrst * x + -3sqrt(2) * y + 6 = 0

Multiply -1 * 2
x2 + 2xy + y2 + -2qrst * x + -3sqrt(2) * y + 6 = 0

Multiply qrst * x
x2 + 2xy + y2 + -2qrstx + -3sqrt(2) * y + 6 = 0

Reorder the terms for easier multiplication:
x2 + 2xy + y2 + -2qrstx + -3 * 2qrst * y + 6 = 0

Multiply -3 * 2
x2 + 2xy + y2 + -2qrstx + -6qrst * y + 6 = 0

Multiply qrst * y
x2 + 2xy + y2 + -2qrstx + -6qrsty + 6 = 0

Reorder the terms:
6 + -2qrstx + -6qrsty + 2xy + x2 + y2 = 0

Solving
6 + -2qrstx + -6qrsty + 2xy + x2 + y2 = 0

Solving for variable 'q'.

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

Add '-6' to each side of the equation.
6 + -2qrstx + -6qrsty + 2xy + x2 + -6 + y2 = 0 + -6

Reorder the terms:
6 + -6 + -2qrstx + -6qrsty + 2xy + x2 + y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2qrstx + -6qrsty + 2xy + x2 + y2 = 0 + -6
-2qrstx + -6qrsty + 2xy + x2 + y2 = 0 + -6

Combine like terms: 0 + -6 = -6
-2qrstx + -6qrsty + 2xy + x2 + y2 = -6

Add '-2xy' to each side of the equation.
-2qrstx + -6qrsty + 2xy + x2 + -2xy + y2 = -6 + -2xy

Reorder the terms:
-2qrstx + -6qrsty + 2xy + -2xy + x2 + y2 = -6 + -2xy

Combine like terms: 2xy + -2xy = 0
-2qrstx + -6qrsty + 0 + x2 + y2 = -6 + -2xy
-2qrstx + -6qrsty + x2 + y2 = -6 + -2xy

Add '-1x2' to each side of the equation.
-2qrstx + -6qrsty + x2 + -1x2 + y2 = -6 + -2xy + -1x2

Combine like terms: x2 + -1x2 = 0
-2qrstx + -6qrsty + 0 + y2 = -6 + -2xy + -1x2
-2qrstx + -6qrsty + y2 = -6 + -2xy + -1x2

Add '-1y2' to each side of the equation.
-2qrstx + -6qrsty + y2 + -1y2 = -6 + -2xy + -1x2 + -1y2

Combine like terms: y2 + -1y2 = 0
-2qrstx + -6qrsty + 0 = -6 + -2xy + -1x2 + -1y2
-2qrstx + -6qrsty = -6 + -2xy + -1x2 + -1y2

Reorder the terms:
6 + -2qrstx + -6qrsty + 2xy + x2 + y2 = -6 + -2xy + -1x2 + -1y2 + 6 + 2xy + x2 + y2

Reorder the terms:
6 + -2qrstx + -6qrsty + 2xy + x2 + y2 = -6 + 6 + -2xy + 2xy + -1x2 + x2 + -1y2 + y2

Combine like terms: -6 + 6 = 0
6 + -2qrstx + -6qrsty + 2xy + x2 + y2 = 0 + -2xy + 2xy + -1x2 + x2 + -1y2 + y2
6 + -2qrstx + -6qrsty + 2xy + x2 + y2 = -2xy + 2xy + -1x2 + x2 + -1y2 + y2

Combine like terms: -2xy + 2xy = 0
6 + -2qrstx + -6qrsty + 2xy + x2 + y2 = 0 + -1x2 + x2 + -1y2 + y2
6 + -2qrstx + -6qrsty + 2xy + x2 + y2 = -1x2 + x2 + -1y2 + y2

Combine like terms: -1x2 + x2 = 0
6 + -2qrstx + -6qrsty + 2xy + x2 + y2 = 0 + -1y2 + y2
6 + -2qrstx + -6qrsty + 2xy + x2 + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
6 + -2qrstx + -6qrsty + 2xy + x2 + y2 = 0

The solution to this equation could not be determined.

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