X^4-4x^3-53x^2+60x+108=0

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Solution for X^4-4x^3-53x^2+60x+108=0 equation: 


Simplifying
X4 + -4x3 + -53x2 + 60x + 108 = 0

Reorder the terms:
108 + X4 + 60x + -53x2 + -4x3 = 0

Solving
108 + X4 + 60x + -53x2 + -4x3 = 0

Solving for variable 'X'.

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

Add '-108' to each side of the equation.
108 + X4 + 60x + -53x2 + -108 + -4x3 = 0 + -108

Reorder the terms:
108 + -108 + X4 + 60x + -53x2 + -4x3 = 0 + -108

Combine like terms: 108 + -108 = 0
0 + X4 + 60x + -53x2 + -4x3 = 0 + -108
X4 + 60x + -53x2 + -4x3 = 0 + -108

Combine like terms: 0 + -108 = -108
X4 + 60x + -53x2 + -4x3 = -108

Add '-60x' to each side of the equation.
X4 + 60x + -53x2 + -60x + -4x3 = -108 + -60x

Reorder the terms:
X4 + 60x + -60x + -53x2 + -4x3 = -108 + -60x

Combine like terms: 60x + -60x = 0
X4 + 0 + -53x2 + -4x3 = -108 + -60x
X4 + -53x2 + -4x3 = -108 + -60x

Add '53x2' to each side of the equation.
X4 + -53x2 + 53x2 + -4x3 = -108 + -60x + 53x2

Combine like terms: -53x2 + 53x2 = 0
X4 + 0 + -4x3 = -108 + -60x + 53x2
X4 + -4x3 = -108 + -60x + 53x2

Add '4x3' to each side of the equation.
X4 + -4x3 + 4x3 = -108 + -60x + 53x2 + 4x3

Combine like terms: -4x3 + 4x3 = 0
X4 + 0 = -108 + -60x + 53x2 + 4x3
X4 = -108 + -60x + 53x2 + 4x3

Simplifying
X4 = -108 + -60x + 53x2 + 4x3

Reorder the terms:
108 + X4 + 60x + -53x2 + -4x3 = -108 + -60x + 53x2 + 4x3 + 108 + 60x + -53x2 + -4x3

Reorder the terms:
108 + X4 + 60x + -53x2 + -4x3 = -108 + 108 + -60x + 60x + 53x2 + -53x2 + 4x3 + -4x3

Combine like terms: -108 + 108 = 0
108 + X4 + 60x + -53x2 + -4x3 = 0 + -60x + 60x + 53x2 + -53x2 + 4x3 + -4x3
108 + X4 + 60x + -53x2 + -4x3 = -60x + 60x + 53x2 + -53x2 + 4x3 + -4x3

Combine like terms: -60x + 60x = 0
108 + X4 + 60x + -53x2 + -4x3 = 0 + 53x2 + -53x2 + 4x3 + -4x3
108 + X4 + 60x + -53x2 + -4x3 = 53x2 + -53x2 + 4x3 + -4x3

Combine like terms: 53x2 + -53x2 = 0
108 + X4 + 60x + -53x2 + -4x3 = 0 + 4x3 + -4x3
108 + X4 + 60x + -53x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
108 + X4 + 60x + -53x2 + -4x3 = 0

The solution to this equation could not be determined.

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