X^5+x^4-6x^3-6x^2+5x+5=0

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


Simplifying
X5 + x4 + -6x3 + -6x2 + 5x + 5 = 0

Reorder the terms:
5 + X5 + 5x + -6x2 + -6x3 + x4 = 0

Solving
5 + X5 + 5x + -6x2 + -6x3 + x4 = 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 + 5x + -6x2 + -6x3 + -5 + x4 = 0 + -5

Reorder the terms:
5 + -5 + X5 + 5x + -6x2 + -6x3 + x4 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + X5 + 5x + -6x2 + -6x3 + x4 = 0 + -5
X5 + 5x + -6x2 + -6x3 + x4 = 0 + -5

Combine like terms: 0 + -5 = -5
X5 + 5x + -6x2 + -6x3 + x4 = -5

Add '-5x' to each side of the equation.
X5 + 5x + -6x2 + -6x3 + -5x + x4 = -5 + -5x

Reorder the terms:
X5 + 5x + -5x + -6x2 + -6x3 + x4 = -5 + -5x

Combine like terms: 5x + -5x = 0
X5 + 0 + -6x2 + -6x3 + x4 = -5 + -5x
X5 + -6x2 + -6x3 + x4 = -5 + -5x

Add '6x2' to each side of the equation.
X5 + -6x2 + -6x3 + 6x2 + x4 = -5 + -5x + 6x2

Reorder the terms:
X5 + -6x2 + 6x2 + -6x3 + x4 = -5 + -5x + 6x2

Combine like terms: -6x2 + 6x2 = 0
X5 + 0 + -6x3 + x4 = -5 + -5x + 6x2
X5 + -6x3 + x4 = -5 + -5x + 6x2

Add '6x3' to each side of the equation.
X5 + -6x3 + 6x3 + x4 = -5 + -5x + 6x2 + 6x3

Combine like terms: -6x3 + 6x3 = 0
X5 + 0 + x4 = -5 + -5x + 6x2 + 6x3
X5 + x4 = -5 + -5x + 6x2 + 6x3

Add '-1x4' to each side of the equation.
X5 + x4 + -1x4 = -5 + -5x + 6x2 + 6x3 + -1x4

Combine like terms: x4 + -1x4 = 0
X5 + 0 = -5 + -5x + 6x2 + 6x3 + -1x4
X5 = -5 + -5x + 6x2 + 6x3 + -1x4

Simplifying
X5 = -5 + -5x + 6x2 + 6x3 + -1x4

Reorder the terms:
5 + X5 + 5x + -6x2 + -6x3 + x4 = -5 + -5x + 6x2 + 6x3 + -1x4 + 5 + 5x + -6x2 + -6x3 + x4

Reorder the terms:
5 + X5 + 5x + -6x2 + -6x3 + x4 = -5 + 5 + -5x + 5x + 6x2 + -6x2 + 6x3 + -6x3 + -1x4 + x4

Combine like terms: -5 + 5 = 0
5 + X5 + 5x + -6x2 + -6x3 + x4 = 0 + -5x + 5x + 6x2 + -6x2 + 6x3 + -6x3 + -1x4 + x4
5 + X5 + 5x + -6x2 + -6x3 + x4 = -5x + 5x + 6x2 + -6x2 + 6x3 + -6x3 + -1x4 + x4

Combine like terms: -5x + 5x = 0
5 + X5 + 5x + -6x2 + -6x3 + x4 = 0 + 6x2 + -6x2 + 6x3 + -6x3 + -1x4 + x4
5 + X5 + 5x + -6x2 + -6x3 + x4 = 6x2 + -6x2 + 6x3 + -6x3 + -1x4 + x4

Combine like terms: 6x2 + -6x2 = 0
5 + X5 + 5x + -6x2 + -6x3 + x4 = 0 + 6x3 + -6x3 + -1x4 + x4
5 + X5 + 5x + -6x2 + -6x3 + x4 = 6x3 + -6x3 + -1x4 + x4

Combine like terms: 6x3 + -6x3 = 0
5 + X5 + 5x + -6x2 + -6x3 + x4 = 0 + -1x4 + x4
5 + X5 + 5x + -6x2 + -6x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
5 + X5 + 5x + -6x2 + -6x3 + x4 = 0

The solution to this equation could not be determined.

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