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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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