X^5-4x^4+7x^3-10x^2+10x-4=0

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Solution for X^5-4x^4+7x^3-10x^2+10x-4=0 equation: 


Simplifying
X5 + -4x4 + 7x3 + -10x2 + 10x + -4 = 0

Reorder the terms:
-4 + X5 + 10x + -10x2 + 7x3 + -4x4 = 0

Solving
-4 + X5 + 10x + -10x2 + 7x3 + -4x4 = 0

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + X5 + 10x + -10x2 + 7x3 + 4 + -4x4 = 0 + 4

Reorder the terms:
-4 + 4 + X5 + 10x + -10x2 + 7x3 + -4x4 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + X5 + 10x + -10x2 + 7x3 + -4x4 = 0 + 4
X5 + 10x + -10x2 + 7x3 + -4x4 = 0 + 4

Combine like terms: 0 + 4 = 4
X5 + 10x + -10x2 + 7x3 + -4x4 = 4

Add '-10x' to each side of the equation.
X5 + 10x + -10x2 + 7x3 + -10x + -4x4 = 4 + -10x

Reorder the terms:
X5 + 10x + -10x + -10x2 + 7x3 + -4x4 = 4 + -10x

Combine like terms: 10x + -10x = 0
X5 + 0 + -10x2 + 7x3 + -4x4 = 4 + -10x
X5 + -10x2 + 7x3 + -4x4 = 4 + -10x

Add '10x2' to each side of the equation.
X5 + -10x2 + 7x3 + 10x2 + -4x4 = 4 + -10x + 10x2

Reorder the terms:
X5 + -10x2 + 10x2 + 7x3 + -4x4 = 4 + -10x + 10x2

Combine like terms: -10x2 + 10x2 = 0
X5 + 0 + 7x3 + -4x4 = 4 + -10x + 10x2
X5 + 7x3 + -4x4 = 4 + -10x + 10x2

Add '-7x3' to each side of the equation.
X5 + 7x3 + -7x3 + -4x4 = 4 + -10x + 10x2 + -7x3

Combine like terms: 7x3 + -7x3 = 0
X5 + 0 + -4x4 = 4 + -10x + 10x2 + -7x3
X5 + -4x4 = 4 + -10x + 10x2 + -7x3

Add '4x4' to each side of the equation.
X5 + -4x4 + 4x4 = 4 + -10x + 10x2 + -7x3 + 4x4

Combine like terms: -4x4 + 4x4 = 0
X5 + 0 = 4 + -10x + 10x2 + -7x3 + 4x4
X5 = 4 + -10x + 10x2 + -7x3 + 4x4

Simplifying
X5 = 4 + -10x + 10x2 + -7x3 + 4x4

Reorder the terms:
-4 + X5 + 10x + -10x2 + 7x3 + -4x4 = 4 + -10x + 10x2 + -7x3 + 4x4 + -4 + 10x + -10x2 + 7x3 + -4x4

Reorder the terms:
-4 + X5 + 10x + -10x2 + 7x3 + -4x4 = 4 + -4 + -10x + 10x + 10x2 + -10x2 + -7x3 + 7x3 + 4x4 + -4x4

Combine like terms: 4 + -4 = 0
-4 + X5 + 10x + -10x2 + 7x3 + -4x4 = 0 + -10x + 10x + 10x2 + -10x2 + -7x3 + 7x3 + 4x4 + -4x4
-4 + X5 + 10x + -10x2 + 7x3 + -4x4 = -10x + 10x + 10x2 + -10x2 + -7x3 + 7x3 + 4x4 + -4x4

Combine like terms: -10x + 10x = 0
-4 + X5 + 10x + -10x2 + 7x3 + -4x4 = 0 + 10x2 + -10x2 + -7x3 + 7x3 + 4x4 + -4x4
-4 + X5 + 10x + -10x2 + 7x3 + -4x4 = 10x2 + -10x2 + -7x3 + 7x3 + 4x4 + -4x4

Combine like terms: 10x2 + -10x2 = 0
-4 + X5 + 10x + -10x2 + 7x3 + -4x4 = 0 + -7x3 + 7x3 + 4x4 + -4x4
-4 + X5 + 10x + -10x2 + 7x3 + -4x4 = -7x3 + 7x3 + 4x4 + -4x4

Combine like terms: -7x3 + 7x3 = 0
-4 + X5 + 10x + -10x2 + 7x3 + -4x4 = 0 + 4x4 + -4x4
-4 + X5 + 10x + -10x2 + 7x3 + -4x4 = 4x4 + -4x4

Combine like terms: 4x4 + -4x4 = 0
-4 + X5 + 10x + -10x2 + 7x3 + -4x4 = 0

The solution to this equation could not be determined.

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