X^4-6x^3+6x^2-6x+5=0

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Solution for X^4-6x^3+6x^2-6x+5=0 equation: 


Simplifying
X4 + -6x3 + 6x2 + -6x + 5 = 0

Reorder the terms:
5 + X4 + -6x + 6x2 + -6x3 = 0

Solving
5 + X4 + -6x + 6x2 + -6x3 = 0

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + X4 + -6x + 6x2 + -5 + -6x3 = 0 + -5

Reorder the terms:
5 + -5 + X4 + -6x + 6x2 + -6x3 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + X4 + -6x + 6x2 + -6x3 = 0 + -5
X4 + -6x + 6x2 + -6x3 = 0 + -5

Combine like terms: 0 + -5 = -5
X4 + -6x + 6x2 + -6x3 = -5

Add '6x' to each side of the equation.
X4 + -6x + 6x2 + 6x + -6x3 = -5 + 6x

Reorder the terms:
X4 + -6x + 6x + 6x2 + -6x3 = -5 + 6x

Combine like terms: -6x + 6x = 0
X4 + 0 + 6x2 + -6x3 = -5 + 6x
X4 + 6x2 + -6x3 = -5 + 6x

Add '-6x2' to each side of the equation.
X4 + 6x2 + -6x2 + -6x3 = -5 + 6x + -6x2

Combine like terms: 6x2 + -6x2 = 0
X4 + 0 + -6x3 = -5 + 6x + -6x2
X4 + -6x3 = -5 + 6x + -6x2

Add '6x3' to each side of the equation.
X4 + -6x3 + 6x3 = -5 + 6x + -6x2 + 6x3

Combine like terms: -6x3 + 6x3 = 0
X4 + 0 = -5 + 6x + -6x2 + 6x3
X4 = -5 + 6x + -6x2 + 6x3

Simplifying
X4 = -5 + 6x + -6x2 + 6x3

Reorder the terms:
5 + X4 + -6x + 6x2 + -6x3 = -5 + 6x + -6x2 + 6x3 + 5 + -6x + 6x2 + -6x3

Reorder the terms:
5 + X4 + -6x + 6x2 + -6x3 = -5 + 5 + 6x + -6x + -6x2 + 6x2 + 6x3 + -6x3

Combine like terms: -5 + 5 = 0
5 + X4 + -6x + 6x2 + -6x3 = 0 + 6x + -6x + -6x2 + 6x2 + 6x3 + -6x3
5 + X4 + -6x + 6x2 + -6x3 = 6x + -6x + -6x2 + 6x2 + 6x3 + -6x3

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

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

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

The solution to this equation could not be determined.

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