10x^3-5x^2y-30x=0

Solution for 10x^3-5x^2y-30x=0 equation:

Simplifying
10x3 + -5x2y + -30x = 0

Reorder the terms:
-30x + -5x2y + 10x3 = 0

Solving
-30x + -5x2y + 10x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-6 + -1xy + 2x2) = 0

Ignore the factor 5.
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 + -1xy + 2x2)' equal to zero and attempt to solve:

Simplifying
-6 + -1xy + 2x2 = 0

Solving
-6 + -1xy + 2x2 = 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}