(x^2)-36x^3=0

Solution for (x^2)-36x^3=0 equation:

Simplifying
(x2) + -36x3 = 0
x2 + -36x3 = 0

Solving
x2 + -36x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(1 + -36x) = 0

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 '(1 + -36x)' equal to zero and attempt to solve:

Simplifying
1 + -36x = 0

Solving
1 + -36x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -36x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -36x = 0 + -1
-36x = 0 + -1

Combine like terms: 0 + -1 = -1
-36x = -1

Divide each side by '-36'.
x = 0.02777777778

Simplifying
x = 0.02777777778
Solution
x = {0, 0.02777777778}