X^6-20x^5-20x^4-20x^3-20x^2-20x+3=24

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Solution for X^6-20x^5-20x^4-20x^3-20x^2-20x+3=24 equation: 


Simplifying
X6 + -20x5 + -20x4 + -20x3 + -20x2 + -20x + 3 = 24

Reorder the terms:
3 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 24

Solving
3 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 24

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + X6 + -20x + -20x2 + -20x3 + -20x4 + -3 + -20x5 = 24 + -3

Reorder the terms:
3 + -3 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 24 + -3

Combine like terms: 3 + -3 = 0
0 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 24 + -3
X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 24 + -3

Combine like terms: 24 + -3 = 21
X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 21

Add '20x' to each side of the equation.
X6 + -20x + -20x2 + -20x3 + -20x4 + 20x + -20x5 = 21 + 20x

Reorder the terms:
X6 + -20x + 20x + -20x2 + -20x3 + -20x4 + -20x5 = 21 + 20x

Combine like terms: -20x + 20x = 0
X6 + 0 + -20x2 + -20x3 + -20x4 + -20x5 = 21 + 20x
X6 + -20x2 + -20x3 + -20x4 + -20x5 = 21 + 20x

Add '20x2' to each side of the equation.
X6 + -20x2 + -20x3 + -20x4 + 20x2 + -20x5 = 21 + 20x + 20x2

Reorder the terms:
X6 + -20x2 + 20x2 + -20x3 + -20x4 + -20x5 = 21 + 20x + 20x2

Combine like terms: -20x2 + 20x2 = 0
X6 + 0 + -20x3 + -20x4 + -20x5 = 21 + 20x + 20x2
X6 + -20x3 + -20x4 + -20x5 = 21 + 20x + 20x2

Add '20x3' to each side of the equation.
X6 + -20x3 + -20x4 + 20x3 + -20x5 = 21 + 20x + 20x2 + 20x3

Reorder the terms:
X6 + -20x3 + 20x3 + -20x4 + -20x5 = 21 + 20x + 20x2 + 20x3

Combine like terms: -20x3 + 20x3 = 0
X6 + 0 + -20x4 + -20x5 = 21 + 20x + 20x2 + 20x3
X6 + -20x4 + -20x5 = 21 + 20x + 20x2 + 20x3

Add '20x4' to each side of the equation.
X6 + -20x4 + 20x4 + -20x5 = 21 + 20x + 20x2 + 20x3 + 20x4

Combine like terms: -20x4 + 20x4 = 0
X6 + 0 + -20x5 = 21 + 20x + 20x2 + 20x3 + 20x4
X6 + -20x5 = 21 + 20x + 20x2 + 20x3 + 20x4

Add '20x5' to each side of the equation.
X6 + -20x5 + 20x5 = 21 + 20x + 20x2 + 20x3 + 20x4 + 20x5

Combine like terms: -20x5 + 20x5 = 0
X6 + 0 = 21 + 20x + 20x2 + 20x3 + 20x4 + 20x5
X6 = 21 + 20x + 20x2 + 20x3 + 20x4 + 20x5

Simplifying
X6 = 21 + 20x + 20x2 + 20x3 + 20x4 + 20x5

Reorder the terms:
-21 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 21 + 20x + 20x2 + 20x3 + 20x4 + 20x5 + -21 + -20x + -20x2 + -20x3 + -20x4 + -20x5

Reorder the terms:
-21 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 21 + -21 + 20x + -20x + 20x2 + -20x2 + 20x3 + -20x3 + 20x4 + -20x4 + 20x5 + -20x5

Combine like terms: 21 + -21 = 0
-21 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 0 + 20x + -20x + 20x2 + -20x2 + 20x3 + -20x3 + 20x4 + -20x4 + 20x5 + -20x5
-21 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 20x + -20x + 20x2 + -20x2 + 20x3 + -20x3 + 20x4 + -20x4 + 20x5 + -20x5

Combine like terms: 20x + -20x = 0
-21 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 0 + 20x2 + -20x2 + 20x3 + -20x3 + 20x4 + -20x4 + 20x5 + -20x5
-21 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 20x2 + -20x2 + 20x3 + -20x3 + 20x4 + -20x4 + 20x5 + -20x5

Combine like terms: 20x2 + -20x2 = 0
-21 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 0 + 20x3 + -20x3 + 20x4 + -20x4 + 20x5 + -20x5
-21 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 20x3 + -20x3 + 20x4 + -20x4 + 20x5 + -20x5

Combine like terms: 20x3 + -20x3 = 0
-21 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 0 + 20x4 + -20x4 + 20x5 + -20x5
-21 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 20x4 + -20x4 + 20x5 + -20x5

Combine like terms: 20x4 + -20x4 = 0
-21 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 0 + 20x5 + -20x5
-21 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 20x5 + -20x5

Combine like terms: 20x5 + -20x5 = 0
-21 + X6 + -20x + -20x2 + -20x3 + -20x4 + -20x5 = 0

The solution to this equation could not be determined.

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