X^5-10x^4-38x^3+68x^2-57x+18=0

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Solution for X^5-10x^4-38x^3+68x^2-57x+18=0 equation: 


Simplifying
X5 + -10x4 + -38x3 + 68x2 + -57x + 18 = 0

Reorder the terms:
18 + X5 + -57x + 68x2 + -38x3 + -10x4 = 0

Solving
18 + X5 + -57x + 68x2 + -38x3 + -10x4 = 0

Solving for variable 'X'.

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

Add '-18' to each side of the equation.
18 + X5 + -57x + 68x2 + -38x3 + -18 + -10x4 = 0 + -18

Reorder the terms:
18 + -18 + X5 + -57x + 68x2 + -38x3 + -10x4 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + X5 + -57x + 68x2 + -38x3 + -10x4 = 0 + -18
X5 + -57x + 68x2 + -38x3 + -10x4 = 0 + -18

Combine like terms: 0 + -18 = -18
X5 + -57x + 68x2 + -38x3 + -10x4 = -18

Add '57x' to each side of the equation.
X5 + -57x + 68x2 + -38x3 + 57x + -10x4 = -18 + 57x

Reorder the terms:
X5 + -57x + 57x + 68x2 + -38x3 + -10x4 = -18 + 57x

Combine like terms: -57x + 57x = 0
X5 + 0 + 68x2 + -38x3 + -10x4 = -18 + 57x
X5 + 68x2 + -38x3 + -10x4 = -18 + 57x

Add '-68x2' to each side of the equation.
X5 + 68x2 + -38x3 + -68x2 + -10x4 = -18 + 57x + -68x2

Reorder the terms:
X5 + 68x2 + -68x2 + -38x3 + -10x4 = -18 + 57x + -68x2

Combine like terms: 68x2 + -68x2 = 0
X5 + 0 + -38x3 + -10x4 = -18 + 57x + -68x2
X5 + -38x3 + -10x4 = -18 + 57x + -68x2

Add '38x3' to each side of the equation.
X5 + -38x3 + 38x3 + -10x4 = -18 + 57x + -68x2 + 38x3

Combine like terms: -38x3 + 38x3 = 0
X5 + 0 + -10x4 = -18 + 57x + -68x2 + 38x3
X5 + -10x4 = -18 + 57x + -68x2 + 38x3

Add '10x4' to each side of the equation.
X5 + -10x4 + 10x4 = -18 + 57x + -68x2 + 38x3 + 10x4

Combine like terms: -10x4 + 10x4 = 0
X5 + 0 = -18 + 57x + -68x2 + 38x3 + 10x4
X5 = -18 + 57x + -68x2 + 38x3 + 10x4

Simplifying
X5 = -18 + 57x + -68x2 + 38x3 + 10x4

Reorder the terms:
18 + X5 + -57x + 68x2 + -38x3 + -10x4 = -18 + 57x + -68x2 + 38x3 + 10x4 + 18 + -57x + 68x2 + -38x3 + -10x4

Reorder the terms:
18 + X5 + -57x + 68x2 + -38x3 + -10x4 = -18 + 18 + 57x + -57x + -68x2 + 68x2 + 38x3 + -38x3 + 10x4 + -10x4

Combine like terms: -18 + 18 = 0
18 + X5 + -57x + 68x2 + -38x3 + -10x4 = 0 + 57x + -57x + -68x2 + 68x2 + 38x3 + -38x3 + 10x4 + -10x4
18 + X5 + -57x + 68x2 + -38x3 + -10x4 = 57x + -57x + -68x2 + 68x2 + 38x3 + -38x3 + 10x4 + -10x4

Combine like terms: 57x + -57x = 0
18 + X5 + -57x + 68x2 + -38x3 + -10x4 = 0 + -68x2 + 68x2 + 38x3 + -38x3 + 10x4 + -10x4
18 + X5 + -57x + 68x2 + -38x3 + -10x4 = -68x2 + 68x2 + 38x3 + -38x3 + 10x4 + -10x4

Combine like terms: -68x2 + 68x2 = 0
18 + X5 + -57x + 68x2 + -38x3 + -10x4 = 0 + 38x3 + -38x3 + 10x4 + -10x4
18 + X5 + -57x + 68x2 + -38x3 + -10x4 = 38x3 + -38x3 + 10x4 + -10x4

Combine like terms: 38x3 + -38x3 = 0
18 + X5 + -57x + 68x2 + -38x3 + -10x4 = 0 + 10x4 + -10x4
18 + X5 + -57x + 68x2 + -38x3 + -10x4 = 10x4 + -10x4

Combine like terms: 10x4 + -10x4 = 0
18 + X5 + -57x + 68x2 + -38x3 + -10x4 = 0

The solution to this equation could not be determined.

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