X^5+5x^4-x^3-37x^2-5x+60=0

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Solution for X^5+5x^4-x^3-37x^2-5x+60=0 equation: 


Simplifying
X5 + 5x4 + -1x3 + -37x2 + -5x + 60 = 0

Reorder the terms:
60 + X5 + -5x + -37x2 + -1x3 + 5x4 = 0

Solving
60 + X5 + -5x + -37x2 + -1x3 + 5x4 = 0

Solving for variable 'X'.

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

Add '-60' to each side of the equation.
60 + X5 + -5x + -37x2 + -1x3 + -60 + 5x4 = 0 + -60

Reorder the terms:
60 + -60 + X5 + -5x + -37x2 + -1x3 + 5x4 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + X5 + -5x + -37x2 + -1x3 + 5x4 = 0 + -60
X5 + -5x + -37x2 + -1x3 + 5x4 = 0 + -60

Combine like terms: 0 + -60 = -60
X5 + -5x + -37x2 + -1x3 + 5x4 = -60

Add '5x' to each side of the equation.
X5 + -5x + -37x2 + -1x3 + 5x + 5x4 = -60 + 5x

Reorder the terms:
X5 + -5x + 5x + -37x2 + -1x3 + 5x4 = -60 + 5x

Combine like terms: -5x + 5x = 0
X5 + 0 + -37x2 + -1x3 + 5x4 = -60 + 5x
X5 + -37x2 + -1x3 + 5x4 = -60 + 5x

Add '37x2' to each side of the equation.
X5 + -37x2 + -1x3 + 37x2 + 5x4 = -60 + 5x + 37x2

Reorder the terms:
X5 + -37x2 + 37x2 + -1x3 + 5x4 = -60 + 5x + 37x2

Combine like terms: -37x2 + 37x2 = 0
X5 + 0 + -1x3 + 5x4 = -60 + 5x + 37x2
X5 + -1x3 + 5x4 = -60 + 5x + 37x2

Add 'x3' to each side of the equation.
X5 + -1x3 + x3 + 5x4 = -60 + 5x + 37x2 + x3

Combine like terms: -1x3 + x3 = 0
X5 + 0 + 5x4 = -60 + 5x + 37x2 + x3
X5 + 5x4 = -60 + 5x + 37x2 + x3

Add '-5x4' to each side of the equation.
X5 + 5x4 + -5x4 = -60 + 5x + 37x2 + x3 + -5x4

Combine like terms: 5x4 + -5x4 = 0
X5 + 0 = -60 + 5x + 37x2 + x3 + -5x4
X5 = -60 + 5x + 37x2 + x3 + -5x4

Simplifying
X5 = -60 + 5x + 37x2 + x3 + -5x4

Reorder the terms:
60 + X5 + -5x + -37x2 + -1x3 + 5x4 = -60 + 5x + 37x2 + x3 + -5x4 + 60 + -5x + -37x2 + -1x3 + 5x4

Reorder the terms:
60 + X5 + -5x + -37x2 + -1x3 + 5x4 = -60 + 60 + 5x + -5x + 37x2 + -37x2 + x3 + -1x3 + -5x4 + 5x4

Combine like terms: -60 + 60 = 0
60 + X5 + -5x + -37x2 + -1x3 + 5x4 = 0 + 5x + -5x + 37x2 + -37x2 + x3 + -1x3 + -5x4 + 5x4
60 + X5 + -5x + -37x2 + -1x3 + 5x4 = 5x + -5x + 37x2 + -37x2 + x3 + -1x3 + -5x4 + 5x4

Combine like terms: 5x + -5x = 0
60 + X5 + -5x + -37x2 + -1x3 + 5x4 = 0 + 37x2 + -37x2 + x3 + -1x3 + -5x4 + 5x4
60 + X5 + -5x + -37x2 + -1x3 + 5x4 = 37x2 + -37x2 + x3 + -1x3 + -5x4 + 5x4

Combine like terms: 37x2 + -37x2 = 0
60 + X5 + -5x + -37x2 + -1x3 + 5x4 = 0 + x3 + -1x3 + -5x4 + 5x4
60 + X5 + -5x + -37x2 + -1x3 + 5x4 = x3 + -1x3 + -5x4 + 5x4

Combine like terms: x3 + -1x3 = 0
60 + X5 + -5x + -37x2 + -1x3 + 5x4 = 0 + -5x4 + 5x4
60 + X5 + -5x + -37x2 + -1x3 + 5x4 = -5x4 + 5x4

Combine like terms: -5x4 + 5x4 = 0
60 + X5 + -5x + -37x2 + -1x3 + 5x4 = 0

The solution to this equation could not be determined.

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