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

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


Simplifying
X4 + -2x3 + 2x2 + 2x + 1 = 0

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

Solving
1 + X4 + 2x + 2x2 + -2x3 = 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 + X4 + 2x + 2x2 + -1 + -2x3 = 0 + -1

Reorder the terms:
1 + -1 + X4 + 2x + 2x2 + -2x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + X4 + 2x + 2x2 + -2x3 = 0 + -1
X4 + 2x + 2x2 + -2x3 = 0 + -1

Combine like terms: 0 + -1 = -1
X4 + 2x + 2x2 + -2x3 = -1

Add '-2x' to each side of the equation.
X4 + 2x + 2x2 + -2x + -2x3 = -1 + -2x

Reorder the terms:
X4 + 2x + -2x + 2x2 + -2x3 = -1 + -2x

Combine like terms: 2x + -2x = 0
X4 + 0 + 2x2 + -2x3 = -1 + -2x
X4 + 2x2 + -2x3 = -1 + -2x

Add '-2x2' to each side of the equation.
X4 + 2x2 + -2x2 + -2x3 = -1 + -2x + -2x2

Combine like terms: 2x2 + -2x2 = 0
X4 + 0 + -2x3 = -1 + -2x + -2x2
X4 + -2x3 = -1 + -2x + -2x2

Add '2x3' to each side of the equation.
X4 + -2x3 + 2x3 = -1 + -2x + -2x2 + 2x3

Combine like terms: -2x3 + 2x3 = 0
X4 + 0 = -1 + -2x + -2x2 + 2x3
X4 = -1 + -2x + -2x2 + 2x3

Simplifying
X4 = -1 + -2x + -2x2 + 2x3

Reorder the terms:
1 + X4 + 2x + 2x2 + -2x3 = -1 + -2x + -2x2 + 2x3 + 1 + 2x + 2x2 + -2x3

Reorder the terms:
1 + X4 + 2x + 2x2 + -2x3 = -1 + 1 + -2x + 2x + -2x2 + 2x2 + 2x3 + -2x3

Combine like terms: -1 + 1 = 0
1 + X4 + 2x + 2x2 + -2x3 = 0 + -2x + 2x + -2x2 + 2x2 + 2x3 + -2x3
1 + X4 + 2x + 2x2 + -2x3 = -2x + 2x + -2x2 + 2x2 + 2x3 + -2x3

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

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

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

The solution to this equation could not be determined.

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