2x^2-4x+xy-2y=(x^2+2)(x^2-2)

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Solution for 2x^2-4x+xy-2y=(x^2+2)(x^2-2) equation:


Simplifying
2x2 + -4x + xy + -2y = (x2 + 2)(x2 + -2)

Reorder the terms:
-4x + xy + 2x2 + -2y = (x2 + 2)(x2 + -2)

Reorder the terms:
-4x + xy + 2x2 + -2y = (2 + x2)(x2 + -2)

Reorder the terms:
-4x + xy + 2x2 + -2y = (2 + x2)(-2 + x2)

Multiply (2 + x2) * (-2 + x2)
-4x + xy + 2x2 + -2y = (2(-2 + x2) + x2(-2 + x2))
-4x + xy + 2x2 + -2y = ((-2 * 2 + x2 * 2) + x2(-2 + x2))
-4x + xy + 2x2 + -2y = ((-4 + 2x2) + x2(-2 + x2))
-4x + xy + 2x2 + -2y = (-4 + 2x2 + (-2 * x2 + x2 * x2))
-4x + xy + 2x2 + -2y = (-4 + 2x2 + (-2x2 + x4))

Combine like terms: 2x2 + -2x2 = 0
-4x + xy + 2x2 + -2y = (-4 + 0 + x4)
-4x + xy + 2x2 + -2y = (-4 + x4)

Solving
-4x + xy + 2x2 + -2y = -4 + x4

Solving for variable 'x'.

Reorder the terms:
4 + -4x + xy + 2x2 + -1x4 + -2y = -4 + x4 + 4 + -1x4

Reorder the terms:
4 + -4x + xy + 2x2 + -1x4 + -2y = -4 + 4 + x4 + -1x4

Combine like terms: -4 + 4 = 0
4 + -4x + xy + 2x2 + -1x4 + -2y = 0 + x4 + -1x4
4 + -4x + xy + 2x2 + -1x4 + -2y = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
4 + -4x + xy + 2x2 + -1x4 + -2y = 0

The solution to this equation could not be determined.

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