8x^4+24x^3-2x^2-6x=0

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Solution for 8x^4+24x^3-2x^2-6x=0 equation: 


Simplifying
8x4 + 24x3 + -2x2 + -6x = 0

Reorder the terms:
-6x + -2x2 + 24x3 + 8x4 = 0

Solving
-6x + -2x2 + 24x3 + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + -1x + 12x2 + 4x3) = 0

Ignore the factor 2.

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 '(-3 + -1x + 12x2 + 4x3)' equal to zero and attempt to solve:

Simplifying
-3 + -1x + 12x2 + 4x3 = 0

Solving
-3 + -1x + 12x2 + 4x3 = 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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