X^4+4xy+2y^4=8

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Solution for X^4+4xy+2y^4=8 equation:


Simplifying
X4 + 4xy + 2y4 = 8

Solving
X4 + 4xy + 2y4 = 8

Solving for variable 'X'.

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

Add '-4xy' to each side of the equation.
X4 + 4xy + -4xy + 2y4 = 8 + -4xy

Combine like terms: 4xy + -4xy = 0
X4 + 0 + 2y4 = 8 + -4xy
X4 + 2y4 = 8 + -4xy

Add '-2y4' to each side of the equation.
X4 + 2y4 + -2y4 = 8 + -4xy + -2y4

Combine like terms: 2y4 + -2y4 = 0
X4 + 0 = 8 + -4xy + -2y4
X4 = 8 + -4xy + -2y4

Simplifying
X4 = 8 + -4xy + -2y4

Reorder the terms:
-8 + X4 + 4xy + 2y4 = 8 + -4xy + -2y4 + -8 + 4xy + 2y4

Reorder the terms:
-8 + X4 + 4xy + 2y4 = 8 + -8 + -4xy + 4xy + -2y4 + 2y4

Combine like terms: 8 + -8 = 0
-8 + X4 + 4xy + 2y4 = 0 + -4xy + 4xy + -2y4 + 2y4
-8 + X4 + 4xy + 2y4 = -4xy + 4xy + -2y4 + 2y4

Combine like terms: -4xy + 4xy = 0
-8 + X4 + 4xy + 2y4 = 0 + -2y4 + 2y4
-8 + X4 + 4xy + 2y4 = -2y4 + 2y4

Combine like terms: -2y4 + 2y4 = 0
-8 + X4 + 4xy + 2y4 = 0

The solution to this equation could not be determined.

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