9x^2(11x^3-6x)=

Solution for 9x^2(11x^3-6x)= equation:

Simplifying
9x2(11x3 + -6x) = 0

Reorder the terms:
9x2(-6x + 11x3) = 0
(-6x * 9x2 + 11x3 * 9x2) = 0
(-54x3 + 99x5) = 0

Solving
-54x3 + 99x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x3'.
9x3(-6 + 11x2) = 0

Ignore the factor 9.
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 '(-6 + 11x2)' equal to zero and attempt to solve:

Simplifying
-6 + 11x2 = 0

Solving
-6 + 11x2 = 0

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

Add '6' to each side of the equation.
-6 + 6 + 11x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 11x2 = 0 + 6
11x2 = 0 + 6

Combine like terms: 0 + 6 = 6
11x2 = 6

Divide each side by '11'.
x2 = 0.5454545455

Simplifying
x2 = 0.5454545455

Take the square root of each side:
x = {-0.738548946, 0.738548946}
Solution
x = {-0.738548946, 0.738548946}