3*x^4-12*x^3+6*x^2-24*x=0

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Solution for 3*x^4-12*x^3+6*x^2-24*x=0 equation: 


Simplifying
3x4 + -12x3 + 6x2 + -24x = 0

Reorder the terms:
-24x + 6x2 + -12x3 + 3x4 = 0

Solving
-24x + 6x2 + -12x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-8 + 2x + -4x2 + x3) = 0

Ignore the factor 3.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-8 + 2x + -4x2 + x3)' equal to zero and attempt to solve:

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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