X^5-2x^4+x^3-x^2+2x-1=0

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Solution for X^5-2x^4+x^3-x^2+2x-1=0 equation: 


Simplifying
X5 + -2x4 + x3 + -1x2 + 2x + -1 = 0

Reorder the terms:
-1 + X5 + 2x + -1x2 + x3 + -2x4 = 0

Solving
-1 + X5 + 2x + -1x2 + x3 + -2x4 = 0

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + X5 + 2x + -1x2 + x3 + 1 + -2x4 = 0 + 1

Reorder the terms:
-1 + 1 + X5 + 2x + -1x2 + x3 + -2x4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + X5 + 2x + -1x2 + x3 + -2x4 = 0 + 1
X5 + 2x + -1x2 + x3 + -2x4 = 0 + 1

Combine like terms: 0 + 1 = 1
X5 + 2x + -1x2 + x3 + -2x4 = 1

Add '-2x' to each side of the equation.
X5 + 2x + -1x2 + x3 + -2x + -2x4 = 1 + -2x

Reorder the terms:
X5 + 2x + -2x + -1x2 + x3 + -2x4 = 1 + -2x

Combine like terms: 2x + -2x = 0
X5 + 0 + -1x2 + x3 + -2x4 = 1 + -2x
X5 + -1x2 + x3 + -2x4 = 1 + -2x

Add 'x2' to each side of the equation.
X5 + -1x2 + x3 + x2 + -2x4 = 1 + -2x + x2

Reorder the terms:
X5 + -1x2 + x2 + x3 + -2x4 = 1 + -2x + x2

Combine like terms: -1x2 + x2 = 0
X5 + 0 + x3 + -2x4 = 1 + -2x + x2
X5 + x3 + -2x4 = 1 + -2x + x2

Add '-1x3' to each side of the equation.
X5 + x3 + -1x3 + -2x4 = 1 + -2x + x2 + -1x3

Combine like terms: x3 + -1x3 = 0
X5 + 0 + -2x4 = 1 + -2x + x2 + -1x3
X5 + -2x4 = 1 + -2x + x2 + -1x3

Add '2x4' to each side of the equation.
X5 + -2x4 + 2x4 = 1 + -2x + x2 + -1x3 + 2x4

Combine like terms: -2x4 + 2x4 = 0
X5 + 0 = 1 + -2x + x2 + -1x3 + 2x4
X5 = 1 + -2x + x2 + -1x3 + 2x4

Simplifying
X5 = 1 + -2x + x2 + -1x3 + 2x4

Reorder the terms:
-1 + X5 + 2x + -1x2 + x3 + -2x4 = 1 + -2x + x2 + -1x3 + 2x4 + -1 + 2x + -1x2 + x3 + -2x4

Reorder the terms:
-1 + X5 + 2x + -1x2 + x3 + -2x4 = 1 + -1 + -2x + 2x + x2 + -1x2 + -1x3 + x3 + 2x4 + -2x4

Combine like terms: 1 + -1 = 0
-1 + X5 + 2x + -1x2 + x3 + -2x4 = 0 + -2x + 2x + x2 + -1x2 + -1x3 + x3 + 2x4 + -2x4
-1 + X5 + 2x + -1x2 + x3 + -2x4 = -2x + 2x + x2 + -1x2 + -1x3 + x3 + 2x4 + -2x4

Combine like terms: -2x + 2x = 0
-1 + X5 + 2x + -1x2 + x3 + -2x4 = 0 + x2 + -1x2 + -1x3 + x3 + 2x4 + -2x4
-1 + X5 + 2x + -1x2 + x3 + -2x4 = x2 + -1x2 + -1x3 + x3 + 2x4 + -2x4

Combine like terms: x2 + -1x2 = 0
-1 + X5 + 2x + -1x2 + x3 + -2x4 = 0 + -1x3 + x3 + 2x4 + -2x4
-1 + X5 + 2x + -1x2 + x3 + -2x4 = -1x3 + x3 + 2x4 + -2x4

Combine like terms: -1x3 + x3 = 0
-1 + X5 + 2x + -1x2 + x3 + -2x4 = 0 + 2x4 + -2x4
-1 + X5 + 2x + -1x2 + x3 + -2x4 = 2x4 + -2x4

Combine like terms: 2x4 + -2x4 = 0
-1 + X5 + 2x + -1x2 + x3 + -2x4 = 0

The solution to this equation could not be determined.

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