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

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


Simplifying
X4 + -2x3 + 6x2 + -2x + 5 = 0

Reorder the terms:
5 + X4 + -2x + 6x2 + -2x3 = 0

Solving
5 + X4 + -2x + 6x2 + -2x3 = 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 + -2x + 6x2 + -5 + -2x3 = 0 + -5

Reorder the terms:
5 + -5 + X4 + -2x + 6x2 + -2x3 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + X4 + -2x + 6x2 + -2x3 = 0 + -5
X4 + -2x + 6x2 + -2x3 = 0 + -5

Combine like terms: 0 + -5 = -5
X4 + -2x + 6x2 + -2x3 = -5

Add '2x' to each side of the equation.
X4 + -2x + 6x2 + 2x + -2x3 = -5 + 2x

Reorder the terms:
X4 + -2x + 2x + 6x2 + -2x3 = -5 + 2x

Combine like terms: -2x + 2x = 0
X4 + 0 + 6x2 + -2x3 = -5 + 2x
X4 + 6x2 + -2x3 = -5 + 2x

Add '-6x2' to each side of the equation.
X4 + 6x2 + -6x2 + -2x3 = -5 + 2x + -6x2

Combine like terms: 6x2 + -6x2 = 0
X4 + 0 + -2x3 = -5 + 2x + -6x2
X4 + -2x3 = -5 + 2x + -6x2

Add '2x3' to each side of the equation.
X4 + -2x3 + 2x3 = -5 + 2x + -6x2 + 2x3

Combine like terms: -2x3 + 2x3 = 0
X4 + 0 = -5 + 2x + -6x2 + 2x3
X4 = -5 + 2x + -6x2 + 2x3

Simplifying
X4 = -5 + 2x + -6x2 + 2x3

Reorder the terms:
5 + X4 + -2x + 6x2 + -2x3 = -5 + 2x + -6x2 + 2x3 + 5 + -2x + 6x2 + -2x3

Reorder the terms:
5 + X4 + -2x + 6x2 + -2x3 = -5 + 5 + 2x + -2x + -6x2 + 6x2 + 2x3 + -2x3

Combine like terms: -5 + 5 = 0
5 + X4 + -2x + 6x2 + -2x3 = 0 + 2x + -2x + -6x2 + 6x2 + 2x3 + -2x3
5 + X4 + -2x + 6x2 + -2x3 = 2x + -2x + -6x2 + 6x2 + 2x3 + -2x3

Combine like terms: 2x + -2x = 0
5 + X4 + -2x + 6x2 + -2x3 = 0 + -6x2 + 6x2 + 2x3 + -2x3
5 + X4 + -2x + 6x2 + -2x3 = -6x2 + 6x2 + 2x3 + -2x3

Combine like terms: -6x2 + 6x2 = 0
5 + X4 + -2x + 6x2 + -2x3 = 0 + 2x3 + -2x3
5 + X4 + -2x + 6x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
5 + X4 + -2x + 6x2 + -2x3 = 0

The solution to this equation could not be determined.

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