36y^3+18y^3+9y=0

Solution for 36y^3+18y^3+9y=0 equation:

Simplifying
36y3 + 18y3 + 9y = 0

Reorder the terms:
9y + 36y3 + 18y3 = 0

Combine like terms: 36y3 + 18y3 = 54y3
9y + 54y3 = 0

Solving
9y + 54y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '9y'.
9y(1 + 6y2) = 0

Ignore the factor 9.
Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(1 + 6y2)' equal to zero and attempt to solve:

Simplifying
1 + 6y2 = 0

Solving
1 + 6y2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 6y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6y2 = 0 + -1
6y2 = 0 + -1

Combine like terms: 0 + -1 = -1
6y2 = -1

Divide each side by '6'.
y2 = -0.1666666667

Simplifying
y2 = -0.1666666667

The solution to this equation could not be determined.

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