0=x^6-2x^5+x^4+2x^3-3x^2-2x+1

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Solution for 0=x^6-2x^5+x^4+2x^3-3x^2-2x+1 equation: 


Simplifying
0 = x6 + -2x5 + x4 + 2x3 + -3x2 + -2x + 1

Reorder the terms:
0 = 1 + -2x + -3x2 + 2x3 + x4 + -2x5 + x6

Solving
0 = 1 + -2x + -3x2 + 2x3 + x4 + -2x5 + x6

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = 1 + -2x + -3x2 + 2x3 + x4 + -2x5 + x6 + -1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6

Reorder the terms:
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = 1 + -1 + -2x + 2x + -3x2 + 3x2 + 2x3 + -2x3 + x4 + -1x4 + -2x5 + 2x5 + x6 + -1x6

Combine like terms: 1 + -1 = 0
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = 0 + -2x + 2x + -3x2 + 3x2 + 2x3 + -2x3 + x4 + -1x4 + -2x5 + 2x5 + x6 + -1x6
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = -2x + 2x + -3x2 + 3x2 + 2x3 + -2x3 + x4 + -1x4 + -2x5 + 2x5 + x6 + -1x6

Combine like terms: -2x + 2x = 0
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = 0 + -3x2 + 3x2 + 2x3 + -2x3 + x4 + -1x4 + -2x5 + 2x5 + x6 + -1x6
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = -3x2 + 3x2 + 2x3 + -2x3 + x4 + -1x4 + -2x5 + 2x5 + x6 + -1x6

Combine like terms: -3x2 + 3x2 = 0
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = 0 + 2x3 + -2x3 + x4 + -1x4 + -2x5 + 2x5 + x6 + -1x6
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = 2x3 + -2x3 + x4 + -1x4 + -2x5 + 2x5 + x6 + -1x6

Combine like terms: 2x3 + -2x3 = 0
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = 0 + x4 + -1x4 + -2x5 + 2x5 + x6 + -1x6
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = x4 + -1x4 + -2x5 + 2x5 + x6 + -1x6

Combine like terms: x4 + -1x4 = 0
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = 0 + -2x5 + 2x5 + x6 + -1x6
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = -2x5 + 2x5 + x6 + -1x6

Combine like terms: -2x5 + 2x5 = 0
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = 0 + x6 + -1x6
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = x6 + -1x6

Combine like terms: x6 + -1x6 = 0
-1 + 2x + 3x2 + -2x3 + -1x4 + 2x5 + -1x6 = 0

The solution to this equation could not be determined.

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