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

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


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

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

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

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 = p + 4x

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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