X^5-5x^4-5x^3+31x^2-32x+10=0

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Solution for X^5-5x^4-5x^3+31x^2-32x+10=0 equation: 


Simplifying
X5 + -5x4 + -5x3 + 31x2 + -32x + 10 = 0

Reorder the terms:
10 + X5 + -32x + 31x2 + -5x3 + -5x4 = 0

Solving
10 + X5 + -32x + 31x2 + -5x3 + -5x4 = 0

Solving for variable 'X'.

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

Add '-10' to each side of the equation.
10 + X5 + -32x + 31x2 + -5x3 + -10 + -5x4 = 0 + -10

Reorder the terms:
10 + -10 + X5 + -32x + 31x2 + -5x3 + -5x4 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + X5 + -32x + 31x2 + -5x3 + -5x4 = 0 + -10
X5 + -32x + 31x2 + -5x3 + -5x4 = 0 + -10

Combine like terms: 0 + -10 = -10
X5 + -32x + 31x2 + -5x3 + -5x4 = -10

Add '32x' to each side of the equation.
X5 + -32x + 31x2 + -5x3 + 32x + -5x4 = -10 + 32x

Reorder the terms:
X5 + -32x + 32x + 31x2 + -5x3 + -5x4 = -10 + 32x

Combine like terms: -32x + 32x = 0
X5 + 0 + 31x2 + -5x3 + -5x4 = -10 + 32x
X5 + 31x2 + -5x3 + -5x4 = -10 + 32x

Add '-31x2' to each side of the equation.
X5 + 31x2 + -5x3 + -31x2 + -5x4 = -10 + 32x + -31x2

Reorder the terms:
X5 + 31x2 + -31x2 + -5x3 + -5x4 = -10 + 32x + -31x2

Combine like terms: 31x2 + -31x2 = 0
X5 + 0 + -5x3 + -5x4 = -10 + 32x + -31x2
X5 + -5x3 + -5x4 = -10 + 32x + -31x2

Add '5x3' to each side of the equation.
X5 + -5x3 + 5x3 + -5x4 = -10 + 32x + -31x2 + 5x3

Combine like terms: -5x3 + 5x3 = 0
X5 + 0 + -5x4 = -10 + 32x + -31x2 + 5x3
X5 + -5x4 = -10 + 32x + -31x2 + 5x3

Add '5x4' to each side of the equation.
X5 + -5x4 + 5x4 = -10 + 32x + -31x2 + 5x3 + 5x4

Combine like terms: -5x4 + 5x4 = 0
X5 + 0 = -10 + 32x + -31x2 + 5x3 + 5x4
X5 = -10 + 32x + -31x2 + 5x3 + 5x4

Simplifying
X5 = -10 + 32x + -31x2 + 5x3 + 5x4

Reorder the terms:
10 + X5 + -32x + 31x2 + -5x3 + -5x4 = -10 + 32x + -31x2 + 5x3 + 5x4 + 10 + -32x + 31x2 + -5x3 + -5x4

Reorder the terms:
10 + X5 + -32x + 31x2 + -5x3 + -5x4 = -10 + 10 + 32x + -32x + -31x2 + 31x2 + 5x3 + -5x3 + 5x4 + -5x4

Combine like terms: -10 + 10 = 0
10 + X5 + -32x + 31x2 + -5x3 + -5x4 = 0 + 32x + -32x + -31x2 + 31x2 + 5x3 + -5x3 + 5x4 + -5x4
10 + X5 + -32x + 31x2 + -5x3 + -5x4 = 32x + -32x + -31x2 + 31x2 + 5x3 + -5x3 + 5x4 + -5x4

Combine like terms: 32x + -32x = 0
10 + X5 + -32x + 31x2 + -5x3 + -5x4 = 0 + -31x2 + 31x2 + 5x3 + -5x3 + 5x4 + -5x4
10 + X5 + -32x + 31x2 + -5x3 + -5x4 = -31x2 + 31x2 + 5x3 + -5x3 + 5x4 + -5x4

Combine like terms: -31x2 + 31x2 = 0
10 + X5 + -32x + 31x2 + -5x3 + -5x4 = 0 + 5x3 + -5x3 + 5x4 + -5x4
10 + X5 + -32x + 31x2 + -5x3 + -5x4 = 5x3 + -5x3 + 5x4 + -5x4

Combine like terms: 5x3 + -5x3 = 0
10 + X5 + -32x + 31x2 + -5x3 + -5x4 = 0 + 5x4 + -5x4
10 + X5 + -32x + 31x2 + -5x3 + -5x4 = 5x4 + -5x4

Combine like terms: 5x4 + -5x4 = 0
10 + X5 + -32x + 31x2 + -5x3 + -5x4 = 0

The solution to this equation could not be determined.

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