2x^3+(-13x^3)=x

Solution for 2x^3+(-13x^3)=x equation:

Simplifying
2x3 + (-13x3) = x

Combine like terms: 2x3 + (-13x3) = -11x3
-11x3 = x

Solving
-11x3 = x

Solving for variable 'x'.

Reorder the terms:
-1x + -11x3 = x + -1x

Combine like terms: x + -1x = 0
-1x + -11x3 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + 11x2) = 0

Ignore the factor -1.
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 '(1 + 11x2)' equal to zero and attempt to solve:

Simplifying
1 + 11x2 = 0

Solving
1 + 11x2 = 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 + 11x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 11x2 = 0 + -1
11x2 = 0 + -1

Combine like terms: 0 + -1 = -1
11x2 = -1

Divide each side by '11'.
x2 = -0.09090909091

Simplifying
x2 = -0.09090909091

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}