X^4-4x^3+x^2+6x+2=0

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Solution for X^4-4x^3+x^2+6x+2=0 equation: 


Simplifying
X4 + -4x3 + x2 + 6x + 2 = 0

Reorder the terms:
2 + X4 + 6x + x2 + -4x3 = 0

Solving
2 + X4 + 6x + x2 + -4x3 = 0

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + X4 + 6x + x2 + -2 + -4x3 = 0 + -2

Reorder the terms:
2 + -2 + X4 + 6x + x2 + -4x3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + X4 + 6x + x2 + -4x3 = 0 + -2
X4 + 6x + x2 + -4x3 = 0 + -2

Combine like terms: 0 + -2 = -2
X4 + 6x + x2 + -4x3 = -2

Add '-6x' to each side of the equation.
X4 + 6x + x2 + -6x + -4x3 = -2 + -6x

Reorder the terms:
X4 + 6x + -6x + x2 + -4x3 = -2 + -6x

Combine like terms: 6x + -6x = 0
X4 + 0 + x2 + -4x3 = -2 + -6x
X4 + x2 + -4x3 = -2 + -6x

Add '-1x2' to each side of the equation.
X4 + x2 + -1x2 + -4x3 = -2 + -6x + -1x2

Combine like terms: x2 + -1x2 = 0
X4 + 0 + -4x3 = -2 + -6x + -1x2
X4 + -4x3 = -2 + -6x + -1x2

Add '4x3' to each side of the equation.
X4 + -4x3 + 4x3 = -2 + -6x + -1x2 + 4x3

Combine like terms: -4x3 + 4x3 = 0
X4 + 0 = -2 + -6x + -1x2 + 4x3
X4 = -2 + -6x + -1x2 + 4x3

Simplifying
X4 = -2 + -6x + -1x2 + 4x3

Reorder the terms:
2 + X4 + 6x + x2 + -4x3 = -2 + -6x + -1x2 + 4x3 + 2 + 6x + x2 + -4x3

Reorder the terms:
2 + X4 + 6x + x2 + -4x3 = -2 + 2 + -6x + 6x + -1x2 + x2 + 4x3 + -4x3

Combine like terms: -2 + 2 = 0
2 + X4 + 6x + x2 + -4x3 = 0 + -6x + 6x + -1x2 + x2 + 4x3 + -4x3
2 + X4 + 6x + x2 + -4x3 = -6x + 6x + -1x2 + x2 + 4x3 + -4x3

Combine like terms: -6x + 6x = 0
2 + X4 + 6x + x2 + -4x3 = 0 + -1x2 + x2 + 4x3 + -4x3
2 + X4 + 6x + x2 + -4x3 = -1x2 + x2 + 4x3 + -4x3

Combine like terms: -1x2 + x2 = 0
2 + X4 + 6x + x2 + -4x3 = 0 + 4x3 + -4x3
2 + X4 + 6x + x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
2 + X4 + 6x + x2 + -4x3 = 0

The solution to this equation could not be determined.

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