220x^3-24x^2=0

Solution for 220x^3-24x^2=0 equation:

Simplifying
220x3 + -24x2 = 0

Reorder the terms:
-24x2 + 220x3 = 0

Solving
-24x2 + 220x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-6 + 55x) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-6 + 55x)' equal to zero and attempt to solve:

Simplifying
-6 + 55x = 0

Solving
-6 + 55x = 0

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

Add '6' to each side of the equation.
-6 + 6 + 55x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 55x = 0 + 6
55x = 0 + 6

Combine like terms: 0 + 6 = 6
55x = 6

Divide each side by '55'.
x = 0.1090909091

Simplifying
x = 0.1090909091
Solution
x = {0, 0.1090909091}