x^3(13x-3)=0

Solution for x^3(13x-3)=0 equation:

Simplifying
x3(13x + -3) = 0

Reorder the terms:
x3(-3 + 13x) = 0
(-3 * x3 + 13x * x3) = 0
(-3x3 + 13x4) = 0

Solving
-3x3 + 13x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-3 + 13x) = 0

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-3 + 13x)' equal to zero and attempt to solve:

Simplifying
-3 + 13x = 0

Solving
-3 + 13x = 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 + 13x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 13x = 0 + 3
13x = 0 + 3

Combine like terms: 0 + 3 = 3
13x = 3

Divide each side by '13'.
x = 0.2307692308

Simplifying
x = 0.2307692308
Solution
x = {0.2307692308}