X^4-8x^3+18x^2-8x-1=0

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Solution for X^4-8x^3+18x^2-8x-1=0 equation:


Simplifying
X4 + -8x3 + 18x2 + -8x + -1 = 0

Reorder the terms:
-1 + X4 + -8x + 18x2 + -8x3 = 0

Solving
-1 + X4 + -8x + 18x2 + -8x3 = 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 + -8x + 18x2 + 1 + -8x3 = 0 + 1

Reorder the terms:
-1 + 1 + X4 + -8x + 18x2 + -8x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + X4 + -8x + 18x2 + -8x3 = 0 + 1
X4 + -8x + 18x2 + -8x3 = 0 + 1

Combine like terms: 0 + 1 = 1
X4 + -8x + 18x2 + -8x3 = 1

Add '8x' to each side of the equation.
X4 + -8x + 18x2 + 8x + -8x3 = 1 + 8x

Reorder the terms:
X4 + -8x + 8x + 18x2 + -8x3 = 1 + 8x

Combine like terms: -8x + 8x = 0
X4 + 0 + 18x2 + -8x3 = 1 + 8x
X4 + 18x2 + -8x3 = 1 + 8x

Add '-18x2' to each side of the equation.
X4 + 18x2 + -18x2 + -8x3 = 1 + 8x + -18x2

Combine like terms: 18x2 + -18x2 = 0
X4 + 0 + -8x3 = 1 + 8x + -18x2
X4 + -8x3 = 1 + 8x + -18x2

Add '8x3' to each side of the equation.
X4 + -8x3 + 8x3 = 1 + 8x + -18x2 + 8x3

Combine like terms: -8x3 + 8x3 = 0
X4 + 0 = 1 + 8x + -18x2 + 8x3
X4 = 1 + 8x + -18x2 + 8x3

Simplifying
X4 = 1 + 8x + -18x2 + 8x3

Reorder the terms:
-1 + X4 + -8x + 18x2 + -8x3 = 1 + 8x + -18x2 + 8x3 + -1 + -8x + 18x2 + -8x3

Reorder the terms:
-1 + X4 + -8x + 18x2 + -8x3 = 1 + -1 + 8x + -8x + -18x2 + 18x2 + 8x3 + -8x3

Combine like terms: 1 + -1 = 0
-1 + X4 + -8x + 18x2 + -8x3 = 0 + 8x + -8x + -18x2 + 18x2 + 8x3 + -8x3
-1 + X4 + -8x + 18x2 + -8x3 = 8x + -8x + -18x2 + 18x2 + 8x3 + -8x3

Combine like terms: 8x + -8x = 0
-1 + X4 + -8x + 18x2 + -8x3 = 0 + -18x2 + 18x2 + 8x3 + -8x3
-1 + X4 + -8x + 18x2 + -8x3 = -18x2 + 18x2 + 8x3 + -8x3

Combine like terms: -18x2 + 18x2 = 0
-1 + X4 + -8x + 18x2 + -8x3 = 0 + 8x3 + -8x3
-1 + X4 + -8x + 18x2 + -8x3 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
-1 + X4 + -8x + 18x2 + -8x3 = 0

The solution to this equation could not be determined.

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