-3b(b+6)=0

Solution for -3b(b+6)=0 equation:

Simplifying
-3b(b + 6) = 0

Reorder the terms:
-3b(6 + b) = 0
(6 * -3b + b * -3b) = 0
(-18b + -3b2) = 0

Solving
-18b + -3b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '-3b'.
-3b(6 + b) = 0

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

Simplifying
b = 0

Solving
b = 0

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

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

Simplifying
6 + b = 0

Solving
6 + b = 0

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

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

Combine like terms: 6 + -6 = 0
0 + b = 0 + -6
b = 0 + -6

Combine like terms: 0 + -6 = -6
b = -6

Simplifying
b = -6
Solution
b = {0, -6}