0=x^3-11x

Solution for 0=x^3-11x equation:

Simplifying
0 = x3 + -11x

Reorder the terms:
0 = -11x + x3

Solving
0 = -11x + x3

Solving for variable 'x'.
Remove the zero:
11x + -1x3 = -11x + x3 + 11x + -1x3

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

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

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

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

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 '(11 + -1x2)' equal to zero and attempt to solve:

Simplifying
11 + -1x2 = 0

Solving
11 + -1x2 = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x2 = 0 + -11

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

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

Divide each side by '-1'.
x2 = 11

Simplifying
x2 = 11

Take the square root of each side:
x = {-3.31662479, 3.31662479}
Solution
x = {0, -3.31662479, 3.31662479}