x^3(9x+11)(9x-11)=0

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Solution for x^3(9x+11)(9x-11)=0 equation: 


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

Reorder the terms:
x3(11 + 9x)(9x + -11) = 0

Reorder the terms:
x3(11 + 9x)(-11 + 9x) = 0

Multiply (11 + 9x) * (-11 + 9x)
x3(11(-11 + 9x) + 9x * (-11 + 9x)) = 0
x3((-11 * 11 + 9x * 11) + 9x * (-11 + 9x)) = 0
x3((-121 + 99x) + 9x * (-11 + 9x)) = 0
x3(-121 + 99x + (-11 * 9x + 9x * 9x)) = 0
x3(-121 + 99x + (-99x + 81x2)) = 0

Combine like terms: 99x + -99x = 0
x3(-121 + 0 + 81x2) = 0
x3(-121 + 81x2) = 0
(-121 * x3 + 81x2 * x3) = 0
(-121x3 + 81x5) = 0

Solving
-121x3 + 81x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-121 + 81x2) = 0

Factor a difference between two squares.
x3((11 + 9x)(-11 + 9x)) = 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 '(11 + 9x)' equal to zero and attempt to solve:

Simplifying
11 + 9x = 0

Solving
11 + 9x = 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 + 9x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 9x = 0 + -11
9x = 0 + -11

Combine like terms: 0 + -11 = -11
9x = -11

Divide each side by '9'.
x = -1.222222222

Simplifying
x = -1.222222222

Subproblem 3
Set the factor '(-11 + 9x)' equal to zero and attempt to solve:

Simplifying
-11 + 9x = 0

Solving
-11 + 9x = 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 + 9x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 9x = 0 + 11
9x = 0 + 11

Combine like terms: 0 + 11 = 11
9x = 11

Divide each side by '9'.
x = 1.222222222

Simplifying
x = 1.222222222
Solution
x = {-1.222222222, 1.222222222}

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