x^6-x^5-5x^4-X^2+x+8=0

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Solution for x^6-x^5-5x^4-X^2+x+8=0 equation: 


Simplifying
x6 + -1x5 + -5x4 + -1X2 + x + 8 = 0

Reorder the terms:
8 + -1X2 + x + -5x4 + -1x5 + x6 = 0

Solving
8 + -1X2 + x + -5x4 + -1x5 + x6 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -1X2 + x + -5x4 + -1x5 + -8 + x6 = 0 + -8

Reorder the terms:
8 + -8 + -1X2 + x + -5x4 + -1x5 + x6 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1X2 + x + -5x4 + -1x5 + x6 = 0 + -8
-1X2 + x + -5x4 + -1x5 + x6 = 0 + -8

Combine like terms: 0 + -8 = -8
-1X2 + x + -5x4 + -1x5 + x6 = -8

Add '-1x' to each side of the equation.
-1X2 + x + -5x4 + -1x5 + -1x + x6 = -8 + -1x

Reorder the terms:
-1X2 + x + -1x + -5x4 + -1x5 + x6 = -8 + -1x

Combine like terms: x + -1x = 0
-1X2 + 0 + -5x4 + -1x5 + x6 = -8 + -1x
-1X2 + -5x4 + -1x5 + x6 = -8 + -1x

Add '5x4' to each side of the equation.
-1X2 + -5x4 + -1x5 + 5x4 + x6 = -8 + -1x + 5x4

Reorder the terms:
-1X2 + -5x4 + 5x4 + -1x5 + x6 = -8 + -1x + 5x4

Combine like terms: -5x4 + 5x4 = 0
-1X2 + 0 + -1x5 + x6 = -8 + -1x + 5x4
-1X2 + -1x5 + x6 = -8 + -1x + 5x4

Add 'x5' to each side of the equation.
-1X2 + -1x5 + x5 + x6 = -8 + -1x + 5x4 + x5

Combine like terms: -1x5 + x5 = 0
-1X2 + 0 + x6 = -8 + -1x + 5x4 + x5
-1X2 + x6 = -8 + -1x + 5x4 + x5

Add '-1x6' to each side of the equation.
-1X2 + x6 + -1x6 = -8 + -1x + 5x4 + x5 + -1x6

Combine like terms: x6 + -1x6 = 0
-1X2 + 0 = -8 + -1x + 5x4 + x5 + -1x6
-1X2 = -8 + -1x + 5x4 + x5 + -1x6

Divide each side by '-1'.
X2 = 8 + x + -5x4 + -1x5 + x6

Simplifying
X2 = 8 + x + -5x4 + -1x5 + x6

Reorder the terms:
-8 + X2 + -1x + 5x4 + x5 + -1x6 = 8 + x + -5x4 + -1x5 + x6 + -8 + -1x + 5x4 + x5 + -1x6

Reorder the terms:
-8 + X2 + -1x + 5x4 + x5 + -1x6 = 8 + -8 + x + -1x + -5x4 + 5x4 + -1x5 + x5 + x6 + -1x6

Combine like terms: 8 + -8 = 0
-8 + X2 + -1x + 5x4 + x5 + -1x6 = 0 + x + -1x + -5x4 + 5x4 + -1x5 + x5 + x6 + -1x6
-8 + X2 + -1x + 5x4 + x5 + -1x6 = x + -1x + -5x4 + 5x4 + -1x5 + x5 + x6 + -1x6

Combine like terms: x + -1x = 0
-8 + X2 + -1x + 5x4 + x5 + -1x6 = 0 + -5x4 + 5x4 + -1x5 + x5 + x6 + -1x6
-8 + X2 + -1x + 5x4 + x5 + -1x6 = -5x4 + 5x4 + -1x5 + x5 + x6 + -1x6

Combine like terms: -5x4 + 5x4 = 0
-8 + X2 + -1x + 5x4 + x5 + -1x6 = 0 + -1x5 + x5 + x6 + -1x6
-8 + X2 + -1x + 5x4 + x5 + -1x6 = -1x5 + x5 + x6 + -1x6

Combine like terms: -1x5 + x5 = 0
-8 + X2 + -1x + 5x4 + x5 + -1x6 = 0 + x6 + -1x6
-8 + X2 + -1x + 5x4 + x5 + -1x6 = x6 + -1x6

Combine like terms: x6 + -1x6 = 0
-8 + X2 + -1x + 5x4 + x5 + -1x6 = 0

The solution to this equation could not be determined.

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