X^4+2x^3-8x^2+4x-6=0

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Solution for X^4+2x^3-8x^2+4x-6=0 equation: 


Simplifying
X4 + 2x3 + -8x2 + 4x + -6 = 0

Reorder the terms:
-6 + X4 + 4x + -8x2 + 2x3 = 0

Solving
-6 + X4 + 4x + -8x2 + 2x3 = 0

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + X4 + 4x + -8x2 + 6 + 2x3 = 0 + 6

Reorder the terms:
-6 + 6 + X4 + 4x + -8x2 + 2x3 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + X4 + 4x + -8x2 + 2x3 = 0 + 6
X4 + 4x + -8x2 + 2x3 = 0 + 6

Combine like terms: 0 + 6 = 6
X4 + 4x + -8x2 + 2x3 = 6

Add '-4x' to each side of the equation.
X4 + 4x + -8x2 + -4x + 2x3 = 6 + -4x

Reorder the terms:
X4 + 4x + -4x + -8x2 + 2x3 = 6 + -4x

Combine like terms: 4x + -4x = 0
X4 + 0 + -8x2 + 2x3 = 6 + -4x
X4 + -8x2 + 2x3 = 6 + -4x

Add '8x2' to each side of the equation.
X4 + -8x2 + 8x2 + 2x3 = 6 + -4x + 8x2

Combine like terms: -8x2 + 8x2 = 0
X4 + 0 + 2x3 = 6 + -4x + 8x2
X4 + 2x3 = 6 + -4x + 8x2

Add '-2x3' to each side of the equation.
X4 + 2x3 + -2x3 = 6 + -4x + 8x2 + -2x3

Combine like terms: 2x3 + -2x3 = 0
X4 + 0 = 6 + -4x + 8x2 + -2x3
X4 = 6 + -4x + 8x2 + -2x3

Simplifying
X4 = 6 + -4x + 8x2 + -2x3

Reorder the terms:
-6 + X4 + 4x + -8x2 + 2x3 = 6 + -4x + 8x2 + -2x3 + -6 + 4x + -8x2 + 2x3

Reorder the terms:
-6 + X4 + 4x + -8x2 + 2x3 = 6 + -6 + -4x + 4x + 8x2 + -8x2 + -2x3 + 2x3

Combine like terms: 6 + -6 = 0
-6 + X4 + 4x + -8x2 + 2x3 = 0 + -4x + 4x + 8x2 + -8x2 + -2x3 + 2x3
-6 + X4 + 4x + -8x2 + 2x3 = -4x + 4x + 8x2 + -8x2 + -2x3 + 2x3

Combine like terms: -4x + 4x = 0
-6 + X4 + 4x + -8x2 + 2x3 = 0 + 8x2 + -8x2 + -2x3 + 2x3
-6 + X4 + 4x + -8x2 + 2x3 = 8x2 + -8x2 + -2x3 + 2x3

Combine like terms: 8x2 + -8x2 = 0
-6 + X4 + 4x + -8x2 + 2x3 = 0 + -2x3 + 2x3
-6 + X4 + 4x + -8x2 + 2x3 = -2x3 + 2x3

Combine like terms: -2x3 + 2x3 = 0
-6 + X4 + 4x + -8x2 + 2x3 = 0

The solution to this equation could not be determined.

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