X^6-x^5-8x^4+2x^3+21x^2-9x-54=0

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Solution for X^6-x^5-8x^4+2x^3+21x^2-9x-54=0 equation:


Simplifying
X6 + -1x5 + -8x4 + 2x3 + 21x2 + -9x + -54 = 0

Reorder the terms:
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 0

Solving
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 0

Solving for variable 'X'.

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

Add '54' to each side of the equation.
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + 54 + -1x5 = 0 + 54

Reorder the terms:
-54 + 54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 0 + 54

Combine like terms: -54 + 54 = 0
0 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 0 + 54
X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 0 + 54

Combine like terms: 0 + 54 = 54
X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 54

Add '9x' to each side of the equation.
X6 + -9x + 21x2 + 2x3 + -8x4 + 9x + -1x5 = 54 + 9x

Reorder the terms:
X6 + -9x + 9x + 21x2 + 2x3 + -8x4 + -1x5 = 54 + 9x

Combine like terms: -9x + 9x = 0
X6 + 0 + 21x2 + 2x3 + -8x4 + -1x5 = 54 + 9x
X6 + 21x2 + 2x3 + -8x4 + -1x5 = 54 + 9x

Add '-21x2' to each side of the equation.
X6 + 21x2 + 2x3 + -8x4 + -21x2 + -1x5 = 54 + 9x + -21x2

Reorder the terms:
X6 + 21x2 + -21x2 + 2x3 + -8x4 + -1x5 = 54 + 9x + -21x2

Combine like terms: 21x2 + -21x2 = 0
X6 + 0 + 2x3 + -8x4 + -1x5 = 54 + 9x + -21x2
X6 + 2x3 + -8x4 + -1x5 = 54 + 9x + -21x2

Add '-2x3' to each side of the equation.
X6 + 2x3 + -8x4 + -2x3 + -1x5 = 54 + 9x + -21x2 + -2x3

Reorder the terms:
X6 + 2x3 + -2x3 + -8x4 + -1x5 = 54 + 9x + -21x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
X6 + 0 + -8x4 + -1x5 = 54 + 9x + -21x2 + -2x3
X6 + -8x4 + -1x5 = 54 + 9x + -21x2 + -2x3

Add '8x4' to each side of the equation.
X6 + -8x4 + 8x4 + -1x5 = 54 + 9x + -21x2 + -2x3 + 8x4

Combine like terms: -8x4 + 8x4 = 0
X6 + 0 + -1x5 = 54 + 9x + -21x2 + -2x3 + 8x4
X6 + -1x5 = 54 + 9x + -21x2 + -2x3 + 8x4

Add 'x5' to each side of the equation.
X6 + -1x5 + x5 = 54 + 9x + -21x2 + -2x3 + 8x4 + x5

Combine like terms: -1x5 + x5 = 0
X6 + 0 = 54 + 9x + -21x2 + -2x3 + 8x4 + x5
X6 = 54 + 9x + -21x2 + -2x3 + 8x4 + x5

Simplifying
X6 = 54 + 9x + -21x2 + -2x3 + 8x4 + x5

Reorder the terms:
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 54 + 9x + -21x2 + -2x3 + 8x4 + x5 + -54 + -9x + 21x2 + 2x3 + -8x4 + -1x5

Reorder the terms:
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 54 + -54 + 9x + -9x + -21x2 + 21x2 + -2x3 + 2x3 + 8x4 + -8x4 + x5 + -1x5

Combine like terms: 54 + -54 = 0
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 0 + 9x + -9x + -21x2 + 21x2 + -2x3 + 2x3 + 8x4 + -8x4 + x5 + -1x5
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 9x + -9x + -21x2 + 21x2 + -2x3 + 2x3 + 8x4 + -8x4 + x5 + -1x5

Combine like terms: 9x + -9x = 0
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 0 + -21x2 + 21x2 + -2x3 + 2x3 + 8x4 + -8x4 + x5 + -1x5
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = -21x2 + 21x2 + -2x3 + 2x3 + 8x4 + -8x4 + x5 + -1x5

Combine like terms: -21x2 + 21x2 = 0
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 0 + -2x3 + 2x3 + 8x4 + -8x4 + x5 + -1x5
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = -2x3 + 2x3 + 8x4 + -8x4 + x5 + -1x5

Combine like terms: -2x3 + 2x3 = 0
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 0 + 8x4 + -8x4 + x5 + -1x5
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 8x4 + -8x4 + x5 + -1x5

Combine like terms: 8x4 + -8x4 = 0
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 0 + x5 + -1x5
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
-54 + X6 + -9x + 21x2 + 2x3 + -8x4 + -1x5 = 0

The solution to this equation could not be determined.

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