Solve(x^4-6x^3+12x^2-12x+4)=0

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Solution for Solve(x^4-6x^3+12x^2-12x+4)=0 equation: 


Simplifying
Solve(x4 + -6x3 + 12x2 + -12x + 4) = 0

Reorder the terms:
elovS(4 + -12x + 12x2 + -6x3 + x4) = 0
(4 * elovS + -12x * elovS + 12x2 * elovS + -6x3 * elovS + x4 * elovS) = 0
(4elovS + -12elovxS + 12elovx2S + -6elovx3S + elovx4S) = 0

Solving
4elovS + -12elovxS + 12elovx2S + -6elovx3S + elovx4S = 0

Solving for variable 'e'.

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

Factor out the Greatest Common Factor (GCF), 'elovS'.
elovS(4 + -12x + 12x2 + -6x3 + x4) = 0


Subproblem 1
Set the factor 'elovS' equal to zero and attempt to solve:

Simplifying
elovS = 0

Solving
elovS = 0

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

Simplifying
elovS = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(4 + -12x + 12x2 + -6x3 + x4)' equal to zero and attempt to solve:

Simplifying
4 + -12x + 12x2 + -6x3 + x4 = 0

Solving
4 + -12x + 12x2 + -6x3 + x4 = 0

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

Add '-4' to each side of the equation.
4 + -12x + 12x2 + -6x3 + -4 + x4 = 0 + -4

Reorder the terms:
4 + -4 + -12x + 12x2 + -6x3 + x4 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -12x + 12x2 + -6x3 + x4 = 0 + -4
-12x + 12x2 + -6x3 + x4 = 0 + -4

Combine like terms: 0 + -4 = -4
-12x + 12x2 + -6x3 + x4 = -4

Add '12x' to each side of the equation.
-12x + 12x2 + -6x3 + 12x + x4 = -4 + 12x

Reorder the terms:
-12x + 12x + 12x2 + -6x3 + x4 = -4 + 12x

Combine like terms: -12x + 12x = 0
0 + 12x2 + -6x3 + x4 = -4 + 12x
12x2 + -6x3 + x4 = -4 + 12x

Add '-12x2' to each side of the equation.
12x2 + -6x3 + -12x2 + x4 = -4 + 12x + -12x2

Reorder the terms:
12x2 + -12x2 + -6x3 + x4 = -4 + 12x + -12x2

Combine like terms: 12x2 + -12x2 = 0
0 + -6x3 + x4 = -4 + 12x + -12x2
-6x3 + x4 = -4 + 12x + -12x2

Add '6x3' to each side of the equation.
-6x3 + 6x3 + x4 = -4 + 12x + -12x2 + 6x3

Combine like terms: -6x3 + 6x3 = 0
0 + x4 = -4 + 12x + -12x2 + 6x3
x4 = -4 + 12x + -12x2 + 6x3

Add '-1x4' to each side of the equation.
x4 + -1x4 = -4 + 12x + -12x2 + 6x3 + -1x4

Combine like terms: x4 + -1x4 = 0
0 = -4 + 12x + -12x2 + 6x3 + -1x4

Simplifying
0 = -4 + 12x + -12x2 + 6x3 + -1x4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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