X^5-5x^4-12x^3+60x^2+35x-175=0

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Solution for X^5-5x^4-12x^3+60x^2+35x-175=0 equation: 


Simplifying
X5 + -5x4 + -12x3 + 60x2 + 35x + -175 = 0

Reorder the terms:
-175 + X5 + 35x + 60x2 + -12x3 + -5x4 = 0

Solving
-175 + X5 + 35x + 60x2 + -12x3 + -5x4 = 0

Solving for variable 'X'.

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

Add '175' to each side of the equation.
-175 + X5 + 35x + 60x2 + -12x3 + 175 + -5x4 = 0 + 175

Reorder the terms:
-175 + 175 + X5 + 35x + 60x2 + -12x3 + -5x4 = 0 + 175

Combine like terms: -175 + 175 = 0
0 + X5 + 35x + 60x2 + -12x3 + -5x4 = 0 + 175
X5 + 35x + 60x2 + -12x3 + -5x4 = 0 + 175

Combine like terms: 0 + 175 = 175
X5 + 35x + 60x2 + -12x3 + -5x4 = 175

Add '-35x' to each side of the equation.
X5 + 35x + 60x2 + -12x3 + -35x + -5x4 = 175 + -35x

Reorder the terms:
X5 + 35x + -35x + 60x2 + -12x3 + -5x4 = 175 + -35x

Combine like terms: 35x + -35x = 0
X5 + 0 + 60x2 + -12x3 + -5x4 = 175 + -35x
X5 + 60x2 + -12x3 + -5x4 = 175 + -35x

Add '-60x2' to each side of the equation.
X5 + 60x2 + -12x3 + -60x2 + -5x4 = 175 + -35x + -60x2

Reorder the terms:
X5 + 60x2 + -60x2 + -12x3 + -5x4 = 175 + -35x + -60x2

Combine like terms: 60x2 + -60x2 = 0
X5 + 0 + -12x3 + -5x4 = 175 + -35x + -60x2
X5 + -12x3 + -5x4 = 175 + -35x + -60x2

Add '12x3' to each side of the equation.
X5 + -12x3 + 12x3 + -5x4 = 175 + -35x + -60x2 + 12x3

Combine like terms: -12x3 + 12x3 = 0
X5 + 0 + -5x4 = 175 + -35x + -60x2 + 12x3
X5 + -5x4 = 175 + -35x + -60x2 + 12x3

Add '5x4' to each side of the equation.
X5 + -5x4 + 5x4 = 175 + -35x + -60x2 + 12x3 + 5x4

Combine like terms: -5x4 + 5x4 = 0
X5 + 0 = 175 + -35x + -60x2 + 12x3 + 5x4
X5 = 175 + -35x + -60x2 + 12x3 + 5x4

Simplifying
X5 = 175 + -35x + -60x2 + 12x3 + 5x4

Reorder the terms:
-175 + X5 + 35x + 60x2 + -12x3 + -5x4 = 175 + -35x + -60x2 + 12x3 + 5x4 + -175 + 35x + 60x2 + -12x3 + -5x4

Reorder the terms:
-175 + X5 + 35x + 60x2 + -12x3 + -5x4 = 175 + -175 + -35x + 35x + -60x2 + 60x2 + 12x3 + -12x3 + 5x4 + -5x4

Combine like terms: 175 + -175 = 0
-175 + X5 + 35x + 60x2 + -12x3 + -5x4 = 0 + -35x + 35x + -60x2 + 60x2 + 12x3 + -12x3 + 5x4 + -5x4
-175 + X5 + 35x + 60x2 + -12x3 + -5x4 = -35x + 35x + -60x2 + 60x2 + 12x3 + -12x3 + 5x4 + -5x4

Combine like terms: -35x + 35x = 0
-175 + X5 + 35x + 60x2 + -12x3 + -5x4 = 0 + -60x2 + 60x2 + 12x3 + -12x3 + 5x4 + -5x4
-175 + X5 + 35x + 60x2 + -12x3 + -5x4 = -60x2 + 60x2 + 12x3 + -12x3 + 5x4 + -5x4

Combine like terms: -60x2 + 60x2 = 0
-175 + X5 + 35x + 60x2 + -12x3 + -5x4 = 0 + 12x3 + -12x3 + 5x4 + -5x4
-175 + X5 + 35x + 60x2 + -12x3 + -5x4 = 12x3 + -12x3 + 5x4 + -5x4

Combine like terms: 12x3 + -12x3 = 0
-175 + X5 + 35x + 60x2 + -12x3 + -5x4 = 0 + 5x4 + -5x4
-175 + X5 + 35x + 60x2 + -12x3 + -5x4 = 5x4 + -5x4

Combine like terms: 5x4 + -5x4 = 0
-175 + X5 + 35x + 60x2 + -12x3 + -5x4 = 0

The solution to this equation could not be determined.

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