X^4-10x^3+x^2-10x+1=0

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Solution for X^4-10x^3+x^2-10x+1=0 equation: 


Simplifying
X4 + -10x3 + x2 + -10x + 1 = 0

Reorder the terms:
1 + X4 + -10x + x2 + -10x3 = 0

Solving
1 + X4 + -10x + x2 + -10x3 = 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 + -10x + x2 + -1 + -10x3 = 0 + -1

Reorder the terms:
1 + -1 + X4 + -10x + x2 + -10x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + X4 + -10x + x2 + -10x3 = 0 + -1
X4 + -10x + x2 + -10x3 = 0 + -1

Combine like terms: 0 + -1 = -1
X4 + -10x + x2 + -10x3 = -1

Add '10x' to each side of the equation.
X4 + -10x + x2 + 10x + -10x3 = -1 + 10x

Reorder the terms:
X4 + -10x + 10x + x2 + -10x3 = -1 + 10x

Combine like terms: -10x + 10x = 0
X4 + 0 + x2 + -10x3 = -1 + 10x
X4 + x2 + -10x3 = -1 + 10x

Add '-1x2' to each side of the equation.
X4 + x2 + -1x2 + -10x3 = -1 + 10x + -1x2

Combine like terms: x2 + -1x2 = 0
X4 + 0 + -10x3 = -1 + 10x + -1x2
X4 + -10x3 = -1 + 10x + -1x2

Add '10x3' to each side of the equation.
X4 + -10x3 + 10x3 = -1 + 10x + -1x2 + 10x3

Combine like terms: -10x3 + 10x3 = 0
X4 + 0 = -1 + 10x + -1x2 + 10x3
X4 = -1 + 10x + -1x2 + 10x3

Simplifying
X4 = -1 + 10x + -1x2 + 10x3

Reorder the terms:
1 + X4 + -10x + x2 + -10x3 = -1 + 10x + -1x2 + 10x3 + 1 + -10x + x2 + -10x3

Reorder the terms:
1 + X4 + -10x + x2 + -10x3 = -1 + 1 + 10x + -10x + -1x2 + x2 + 10x3 + -10x3

Combine like terms: -1 + 1 = 0
1 + X4 + -10x + x2 + -10x3 = 0 + 10x + -10x + -1x2 + x2 + 10x3 + -10x3
1 + X4 + -10x + x2 + -10x3 = 10x + -10x + -1x2 + x2 + 10x3 + -10x3

Combine like terms: 10x + -10x = 0
1 + X4 + -10x + x2 + -10x3 = 0 + -1x2 + x2 + 10x3 + -10x3
1 + X4 + -10x + x2 + -10x3 = -1x2 + x2 + 10x3 + -10x3

Combine like terms: -1x2 + x2 = 0
1 + X4 + -10x + x2 + -10x3 = 0 + 10x3 + -10x3
1 + X4 + -10x + x2 + -10x3 = 10x3 + -10x3

Combine like terms: 10x3 + -10x3 = 0
1 + X4 + -10x + x2 + -10x3 = 0

The solution to this equation could not be determined.

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