2x^3+10x^4-12x=0

Solution for 2x^3+10x^4-12x=0 equation:

Simplifying
2x3 + 10x4 + -12x = 0

Reorder the terms:
-12x + 2x3 + 10x4 = 0

Solving
-12x + 2x3 + 10x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-6 + x2 + 5x3) = 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 '(-6 + x2 + 5x3)' equal to zero and attempt to solve:

Simplifying
-6 + x2 + 5x3 = 0

Solving
-6 + x2 + 5x3 = 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}