X^4-4x^3+8x^2-8x-12=0

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Solution for X^4-4x^3+8x^2-8x-12=0 equation: 


Simplifying
X4 + -4x3 + 8x2 + -8x + -12 = 0

Reorder the terms:
-12 + X4 + -8x + 8x2 + -4x3 = 0

Solving
-12 + X4 + -8x + 8x2 + -4x3 = 0

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + X4 + -8x + 8x2 + 12 + -4x3 = 0 + 12

Reorder the terms:
-12 + 12 + X4 + -8x + 8x2 + -4x3 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + X4 + -8x + 8x2 + -4x3 = 0 + 12
X4 + -8x + 8x2 + -4x3 = 0 + 12

Combine like terms: 0 + 12 = 12
X4 + -8x + 8x2 + -4x3 = 12

Add '8x' to each side of the equation.
X4 + -8x + 8x2 + 8x + -4x3 = 12 + 8x

Reorder the terms:
X4 + -8x + 8x + 8x2 + -4x3 = 12 + 8x

Combine like terms: -8x + 8x = 0
X4 + 0 + 8x2 + -4x3 = 12 + 8x
X4 + 8x2 + -4x3 = 12 + 8x

Add '-8x2' to each side of the equation.
X4 + 8x2 + -8x2 + -4x3 = 12 + 8x + -8x2

Combine like terms: 8x2 + -8x2 = 0
X4 + 0 + -4x3 = 12 + 8x + -8x2
X4 + -4x3 = 12 + 8x + -8x2

Add '4x3' to each side of the equation.
X4 + -4x3 + 4x3 = 12 + 8x + -8x2 + 4x3

Combine like terms: -4x3 + 4x3 = 0
X4 + 0 = 12 + 8x + -8x2 + 4x3
X4 = 12 + 8x + -8x2 + 4x3

Simplifying
X4 = 12 + 8x + -8x2 + 4x3

Reorder the terms:
-12 + X4 + -8x + 8x2 + -4x3 = 12 + 8x + -8x2 + 4x3 + -12 + -8x + 8x2 + -4x3

Reorder the terms:
-12 + X4 + -8x + 8x2 + -4x3 = 12 + -12 + 8x + -8x + -8x2 + 8x2 + 4x3 + -4x3

Combine like terms: 12 + -12 = 0
-12 + X4 + -8x + 8x2 + -4x3 = 0 + 8x + -8x + -8x2 + 8x2 + 4x3 + -4x3
-12 + X4 + -8x + 8x2 + -4x3 = 8x + -8x + -8x2 + 8x2 + 4x3 + -4x3

Combine like terms: 8x + -8x = 0
-12 + X4 + -8x + 8x2 + -4x3 = 0 + -8x2 + 8x2 + 4x3 + -4x3
-12 + X4 + -8x + 8x2 + -4x3 = -8x2 + 8x2 + 4x3 + -4x3

Combine like terms: -8x2 + 8x2 = 0
-12 + X4 + -8x + 8x2 + -4x3 = 0 + 4x3 + -4x3
-12 + X4 + -8x + 8x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-12 + X4 + -8x + 8x2 + -4x3 = 0

The solution to this equation could not be determined.

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