2x^4+20x^3+24x^3-144x=0

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Solution for 2x^4+20x^3+24x^3-144x=0 equation: 


Simplifying
2x4 + 20x3 + 24x3 + -144x = 0

Reorder the terms:
-144x + 20x3 + 24x3 + 2x4 = 0

Combine like terms: 20x3 + 24x3 = 44x3
-144x + 44x3 + 2x4 = 0

Solving
-144x + 44x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-72 + 22x2 + x3) = 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 '(-72 + 22x2 + x3)' equal to zero and attempt to solve:

Simplifying
-72 + 22x2 + x3 = 0

Solving
-72 + 22x2 + 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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