X^4+4xy+4y^2-x-2y-6=0

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Solution for X^4+4xy+4y^2-x-2y-6=0 equation:


Simplifying
X4 + 4xy + 4y2 + -1x + -2y + -6 = 0

Reorder the terms:
-6 + X4 + -1x + 4xy + -2y + 4y2 = 0

Solving
-6 + X4 + -1x + 4xy + -2y + 4y2 = 0

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + X4 + -1x + 4xy + -2y + 6 + 4y2 = 0 + 6

Reorder the terms:
-6 + 6 + X4 + -1x + 4xy + -2y + 4y2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + X4 + -1x + 4xy + -2y + 4y2 = 0 + 6
X4 + -1x + 4xy + -2y + 4y2 = 0 + 6

Combine like terms: 0 + 6 = 6
X4 + -1x + 4xy + -2y + 4y2 = 6

Add 'x' to each side of the equation.
X4 + -1x + 4xy + -2y + x + 4y2 = 6 + x

Reorder the terms:
X4 + -1x + x + 4xy + -2y + 4y2 = 6 + x

Combine like terms: -1x + x = 0
X4 + 0 + 4xy + -2y + 4y2 = 6 + x
X4 + 4xy + -2y + 4y2 = 6 + x

Add '-4xy' to each side of the equation.
X4 + 4xy + -2y + -4xy + 4y2 = 6 + x + -4xy

Reorder the terms:
X4 + 4xy + -4xy + -2y + 4y2 = 6 + x + -4xy

Combine like terms: 4xy + -4xy = 0
X4 + 0 + -2y + 4y2 = 6 + x + -4xy
X4 + -2y + 4y2 = 6 + x + -4xy

Add '2y' to each side of the equation.
X4 + -2y + 2y + 4y2 = 6 + x + -4xy + 2y

Combine like terms: -2y + 2y = 0
X4 + 0 + 4y2 = 6 + x + -4xy + 2y
X4 + 4y2 = 6 + x + -4xy + 2y

Add '-4y2' to each side of the equation.
X4 + 4y2 + -4y2 = 6 + x + -4xy + 2y + -4y2

Combine like terms: 4y2 + -4y2 = 0
X4 + 0 = 6 + x + -4xy + 2y + -4y2
X4 = 6 + x + -4xy + 2y + -4y2

Simplifying
X4 = 6 + x + -4xy + 2y + -4y2

Reorder the terms:
-6 + X4 + -1x + 4xy + -2y + 4y2 = 6 + x + -4xy + 2y + -4y2 + -6 + -1x + 4xy + -2y + 4y2

Reorder the terms:
-6 + X4 + -1x + 4xy + -2y + 4y2 = 6 + -6 + x + -1x + -4xy + 4xy + 2y + -2y + -4y2 + 4y2

Combine like terms: 6 + -6 = 0
-6 + X4 + -1x + 4xy + -2y + 4y2 = 0 + x + -1x + -4xy + 4xy + 2y + -2y + -4y2 + 4y2
-6 + X4 + -1x + 4xy + -2y + 4y2 = x + -1x + -4xy + 4xy + 2y + -2y + -4y2 + 4y2

Combine like terms: x + -1x = 0
-6 + X4 + -1x + 4xy + -2y + 4y2 = 0 + -4xy + 4xy + 2y + -2y + -4y2 + 4y2
-6 + X4 + -1x + 4xy + -2y + 4y2 = -4xy + 4xy + 2y + -2y + -4y2 + 4y2

Combine like terms: -4xy + 4xy = 0
-6 + X4 + -1x + 4xy + -2y + 4y2 = 0 + 2y + -2y + -4y2 + 4y2
-6 + X4 + -1x + 4xy + -2y + 4y2 = 2y + -2y + -4y2 + 4y2

Combine like terms: 2y + -2y = 0
-6 + X4 + -1x + 4xy + -2y + 4y2 = 0 + -4y2 + 4y2
-6 + X4 + -1x + 4xy + -2y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
-6 + X4 + -1x + 4xy + -2y + 4y2 = 0

The solution to this equation could not be determined.

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