9w+6w^3=0

Solution for 9w+6w^3=0 equation:

Simplifying
9w + 6w3 = 0

Solving
9w + 6w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w'.
3w(3 + 2w2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0
Subproblem 2
Set the factor '(3 + 2w2)' equal to zero and attempt to solve:

Simplifying
3 + 2w2 = 0

Solving
3 + 2w2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2w2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2w2 = 0 + -3
2w2 = 0 + -3

Combine like terms: 0 + -3 = -3
2w2 = -3

Divide each side by '2'.
w2 = -1.5

Simplifying
w2 = -1.5

The solution to this equation could not be determined.

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