x^2(120x-36)=0

Solution for x^2(120x-36)=0 equation:

Simplifying
x2(120x + -36) = 0

Reorder the terms:
x2(-36 + 120x) = 0
(-36 * x2 + 120x * x2) = 0
(-36x2 + 120x3) = 0

Solving
-36x2 + 120x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x2'.
12x2(-3 + 10x) = 0

Ignore the factor 12.
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 '(-3 + 10x)' equal to zero and attempt to solve:

Simplifying
-3 + 10x = 0

Solving
-3 + 10x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 10x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 0 + 3
10x = 0 + 3

Combine like terms: 0 + 3 = 3
10x = 3

Divide each side by '10'.
x = 0.3

Simplifying
x = 0.3
Solution
x = {0, 0.3}