X^4-4x^3+6x^2-4x=y^2

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Solution for X^4-4x^3+6x^2-4x=y^2 equation: 


Simplifying
X4 + -4x3 + 6x2 + -4x = y2

Reorder the terms:
X4 + -4x + 6x2 + -4x3 = y2

Solving
X4 + -4x + 6x2 + -4x3 = y2

Solving for variable 'X'.

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

Add '4x' to each side of the equation.
X4 + -4x + 6x2 + 4x + -4x3 = 4x + y2

Reorder the terms:
X4 + -4x + 4x + 6x2 + -4x3 = 4x + y2

Combine like terms: -4x + 4x = 0
X4 + 0 + 6x2 + -4x3 = 4x + y2
X4 + 6x2 + -4x3 = 4x + y2

Add '-6x2' to each side of the equation.
X4 + 6x2 + -6x2 + -4x3 = 4x + -6x2 + y2

Combine like terms: 6x2 + -6x2 = 0
X4 + 0 + -4x3 = 4x + -6x2 + y2
X4 + -4x3 = 4x + -6x2 + y2

Add '4x3' to each side of the equation.
X4 + -4x3 + 4x3 = 4x + -6x2 + 4x3 + y2

Combine like terms: -4x3 + 4x3 = 0
X4 + 0 = 4x + -6x2 + 4x3 + y2
X4 = 4x + -6x2 + 4x3 + y2

Simplifying
X4 = 4x + -6x2 + 4x3 + y2

Reorder the terms:
X4 + -4x + 6x2 + -4x3 + -1y2 = 4x + -4x + -6x2 + 6x2 + 4x3 + -4x3 + y2 + -1y2

Combine like terms: 4x + -4x = 0
X4 + -4x + 6x2 + -4x3 + -1y2 = 0 + -6x2 + 6x2 + 4x3 + -4x3 + y2 + -1y2
X4 + -4x + 6x2 + -4x3 + -1y2 = -6x2 + 6x2 + 4x3 + -4x3 + y2 + -1y2

Combine like terms: -6x2 + 6x2 = 0
X4 + -4x + 6x2 + -4x3 + -1y2 = 0 + 4x3 + -4x3 + y2 + -1y2
X4 + -4x + 6x2 + -4x3 + -1y2 = 4x3 + -4x3 + y2 + -1y2

Combine like terms: 4x3 + -4x3 = 0
X4 + -4x + 6x2 + -4x3 + -1y2 = 0 + y2 + -1y2
X4 + -4x + 6x2 + -4x3 + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
X4 + -4x + 6x2 + -4x3 + -1y2 = 0

The solution to this equation could not be determined.

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