X^4-6x^3+12x^2-8x=0

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Solution for X^4-6x^3+12x^2-8x=0 equation:


Simplifying
X4 + -6x3 + 12x2 + -8x = 0

Reorder the terms:
X4 + -8x + 12x2 + -6x3 = 0

Solving
X4 + -8x + 12x2 + -6x3 = 0

Solving for variable 'X'.

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

Add '8x' to each side of the equation.
X4 + -8x + 12x2 + 8x + -6x3 = 0 + 8x

Reorder the terms:
X4 + -8x + 8x + 12x2 + -6x3 = 0 + 8x

Combine like terms: -8x + 8x = 0
X4 + 0 + 12x2 + -6x3 = 0 + 8x
X4 + 12x2 + -6x3 = 0 + 8x
Remove the zero:
X4 + 12x2 + -6x3 = 8x

Add '-12x2' to each side of the equation.
X4 + 12x2 + -12x2 + -6x3 = 8x + -12x2

Combine like terms: 12x2 + -12x2 = 0
X4 + 0 + -6x3 = 8x + -12x2
X4 + -6x3 = 8x + -12x2

Add '6x3' to each side of the equation.
X4 + -6x3 + 6x3 = 8x + -12x2 + 6x3

Combine like terms: -6x3 + 6x3 = 0
X4 + 0 = 8x + -12x2 + 6x3
X4 = 8x + -12x2 + 6x3

Simplifying
X4 = 8x + -12x2 + 6x3

Reorder the terms:
X4 + -8x + 12x2 + -6x3 = 8x + -8x + -12x2 + 12x2 + 6x3 + -6x3

Combine like terms: 8x + -8x = 0
X4 + -8x + 12x2 + -6x3 = 0 + -12x2 + 12x2 + 6x3 + -6x3
X4 + -8x + 12x2 + -6x3 = -12x2 + 12x2 + 6x3 + -6x3

Combine like terms: -12x2 + 12x2 = 0
X4 + -8x + 12x2 + -6x3 = 0 + 6x3 + -6x3
X4 + -8x + 12x2 + -6x3 = 6x3 + -6x3

Combine like terms: 6x3 + -6x3 = 0
X4 + -8x + 12x2 + -6x3 = 0

The solution to this equation could not be determined.

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