X^5-4x^4+30x^3-102x^2+125x-5=0

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Solution for X^5-4x^4+30x^3-102x^2+125x-5=0 equation: 


Simplifying
X5 + -4x4 + 30x3 + -102x2 + 125x + -5 = 0

Reorder the terms:
-5 + X5 + 125x + -102x2 + 30x3 + -4x4 = 0

Solving
-5 + X5 + 125x + -102x2 + 30x3 + -4x4 = 0

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + X5 + 125x + -102x2 + 30x3 + 5 + -4x4 = 0 + 5

Reorder the terms:
-5 + 5 + X5 + 125x + -102x2 + 30x3 + -4x4 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + X5 + 125x + -102x2 + 30x3 + -4x4 = 0 + 5
X5 + 125x + -102x2 + 30x3 + -4x4 = 0 + 5

Combine like terms: 0 + 5 = 5
X5 + 125x + -102x2 + 30x3 + -4x4 = 5

Add '-125x' to each side of the equation.
X5 + 125x + -102x2 + 30x3 + -125x + -4x4 = 5 + -125x

Reorder the terms:
X5 + 125x + -125x + -102x2 + 30x3 + -4x4 = 5 + -125x

Combine like terms: 125x + -125x = 0
X5 + 0 + -102x2 + 30x3 + -4x4 = 5 + -125x
X5 + -102x2 + 30x3 + -4x4 = 5 + -125x

Add '102x2' to each side of the equation.
X5 + -102x2 + 30x3 + 102x2 + -4x4 = 5 + -125x + 102x2

Reorder the terms:
X5 + -102x2 + 102x2 + 30x3 + -4x4 = 5 + -125x + 102x2

Combine like terms: -102x2 + 102x2 = 0
X5 + 0 + 30x3 + -4x4 = 5 + -125x + 102x2
X5 + 30x3 + -4x4 = 5 + -125x + 102x2

Add '-30x3' to each side of the equation.
X5 + 30x3 + -30x3 + -4x4 = 5 + -125x + 102x2 + -30x3

Combine like terms: 30x3 + -30x3 = 0
X5 + 0 + -4x4 = 5 + -125x + 102x2 + -30x3
X5 + -4x4 = 5 + -125x + 102x2 + -30x3

Add '4x4' to each side of the equation.
X5 + -4x4 + 4x4 = 5 + -125x + 102x2 + -30x3 + 4x4

Combine like terms: -4x4 + 4x4 = 0
X5 + 0 = 5 + -125x + 102x2 + -30x3 + 4x4
X5 = 5 + -125x + 102x2 + -30x3 + 4x4

Simplifying
X5 = 5 + -125x + 102x2 + -30x3 + 4x4

Reorder the terms:
-5 + X5 + 125x + -102x2 + 30x3 + -4x4 = 5 + -125x + 102x2 + -30x3 + 4x4 + -5 + 125x + -102x2 + 30x3 + -4x4

Reorder the terms:
-5 + X5 + 125x + -102x2 + 30x3 + -4x4 = 5 + -5 + -125x + 125x + 102x2 + -102x2 + -30x3 + 30x3 + 4x4 + -4x4

Combine like terms: 5 + -5 = 0
-5 + X5 + 125x + -102x2 + 30x3 + -4x4 = 0 + -125x + 125x + 102x2 + -102x2 + -30x3 + 30x3 + 4x4 + -4x4
-5 + X5 + 125x + -102x2 + 30x3 + -4x4 = -125x + 125x + 102x2 + -102x2 + -30x3 + 30x3 + 4x4 + -4x4

Combine like terms: -125x + 125x = 0
-5 + X5 + 125x + -102x2 + 30x3 + -4x4 = 0 + 102x2 + -102x2 + -30x3 + 30x3 + 4x4 + -4x4
-5 + X5 + 125x + -102x2 + 30x3 + -4x4 = 102x2 + -102x2 + -30x3 + 30x3 + 4x4 + -4x4

Combine like terms: 102x2 + -102x2 = 0
-5 + X5 + 125x + -102x2 + 30x3 + -4x4 = 0 + -30x3 + 30x3 + 4x4 + -4x4
-5 + X5 + 125x + -102x2 + 30x3 + -4x4 = -30x3 + 30x3 + 4x4 + -4x4

Combine like terms: -30x3 + 30x3 = 0
-5 + X5 + 125x + -102x2 + 30x3 + -4x4 = 0 + 4x4 + -4x4
-5 + X5 + 125x + -102x2 + 30x3 + -4x4 = 4x4 + -4x4

Combine like terms: 4x4 + -4x4 = 0
-5 + X5 + 125x + -102x2 + 30x3 + -4x4 = 0

The solution to this equation could not be determined.

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