X^4-8x^3-x^2+68x+60=0

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Solution for X^4-8x^3-x^2+68x+60=0 equation: 


Simplifying
X4 + -8x3 + -1x2 + 68x + 60 = 0

Reorder the terms:
60 + X4 + 68x + -1x2 + -8x3 = 0

Solving
60 + X4 + 68x + -1x2 + -8x3 = 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 + X4 + 68x + -1x2 + -60 + -8x3 = 0 + -60

Reorder the terms:
60 + -60 + X4 + 68x + -1x2 + -8x3 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + X4 + 68x + -1x2 + -8x3 = 0 + -60
X4 + 68x + -1x2 + -8x3 = 0 + -60

Combine like terms: 0 + -60 = -60
X4 + 68x + -1x2 + -8x3 = -60

Add '-68x' to each side of the equation.
X4 + 68x + -1x2 + -68x + -8x3 = -60 + -68x

Reorder the terms:
X4 + 68x + -68x + -1x2 + -8x3 = -60 + -68x

Combine like terms: 68x + -68x = 0
X4 + 0 + -1x2 + -8x3 = -60 + -68x
X4 + -1x2 + -8x3 = -60 + -68x

Add 'x2' to each side of the equation.
X4 + -1x2 + x2 + -8x3 = -60 + -68x + x2

Combine like terms: -1x2 + x2 = 0
X4 + 0 + -8x3 = -60 + -68x + x2
X4 + -8x3 = -60 + -68x + x2

Add '8x3' to each side of the equation.
X4 + -8x3 + 8x3 = -60 + -68x + x2 + 8x3

Combine like terms: -8x3 + 8x3 = 0
X4 + 0 = -60 + -68x + x2 + 8x3
X4 = -60 + -68x + x2 + 8x3

Simplifying
X4 = -60 + -68x + x2 + 8x3

Reorder the terms:
60 + X4 + 68x + -1x2 + -8x3 = -60 + -68x + x2 + 8x3 + 60 + 68x + -1x2 + -8x3

Reorder the terms:
60 + X4 + 68x + -1x2 + -8x3 = -60 + 60 + -68x + 68x + x2 + -1x2 + 8x3 + -8x3

Combine like terms: -60 + 60 = 0
60 + X4 + 68x + -1x2 + -8x3 = 0 + -68x + 68x + x2 + -1x2 + 8x3 + -8x3
60 + X4 + 68x + -1x2 + -8x3 = -68x + 68x + x2 + -1x2 + 8x3 + -8x3

Combine like terms: -68x + 68x = 0
60 + X4 + 68x + -1x2 + -8x3 = 0 + x2 + -1x2 + 8x3 + -8x3
60 + X4 + 68x + -1x2 + -8x3 = x2 + -1x2 + 8x3 + -8x3

Combine like terms: x2 + -1x2 = 0
60 + X4 + 68x + -1x2 + -8x3 = 0 + 8x3 + -8x3
60 + X4 + 68x + -1x2 + -8x3 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
60 + X4 + 68x + -1x2 + -8x3 = 0

The solution to this equation could not be determined.

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