12b^3+6b^2=0

Solution for 12b^3+6b^2=0 equation:

Simplifying
12b3 + 6b2 = 0

Reorder the terms:
6b2 + 12b3 = 0

Solving
6b2 + 12b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6b2'.
6b2(1 + 2b) = 0

Ignore the factor 6.
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 '(1 + 2b)' equal to zero and attempt to solve:

Simplifying
1 + 2b = 0

Solving
1 + 2b = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2b = 0 + -1
2b = 0 + -1

Combine like terms: 0 + -1 = -1
2b = -1

Divide each side by '2'.
b = -0.5

Simplifying
b = -0.5
Solution
b = {0, -0.5}