9b^3+6b^2=0

Solution for 9b^3+6b^2=0 equation:

Simplifying
9b3 + 6b2 = 0

Reorder the terms:
6b2 + 9b3 = 0

Solving
6b2 + 9b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3b2'.
3b2(2 + 3b) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve:

Simplifying
b2 = 0

Solving
b2 = 0

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

Simplifying
b2 = 0

Take the square root of each side:
b = {0}
Subproblem 2
Set the factor '(2 + 3b)' equal to zero and attempt to solve:

Simplifying
2 + 3b = 0

Solving
2 + 3b = 0

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

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

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

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

Divide each side by '3'.
b = -0.6666666667

Simplifying
b = -0.6666666667
Solution
b = {0, -0.6666666667}