b(3+3b)-b(2b-3)=

Solution for b(3+3b)-b(2b-3)= equation:

Simplifying
b(3 + 3b) + -1b(2b + -3) = 0
(3 * b + 3b * b) + -1b(2b + -3) = 0
(3b + 3b2) + -1b(2b + -3) = 0

Reorder the terms:
3b + 3b2 + -1b(-3 + 2b) = 0
3b + 3b2 + (-3 * -1b + 2b * -1b) = 0
3b + 3b2 + (3b + -2b2) = 0

Reorder the terms:
3b + 3b + 3b2 + -2b2 = 0

Combine like terms: 3b + 3b = 6b
6b + 3b2 + -2b2 = 0

Combine like terms: 3b2 + -2b2 = 1b2
6b + 1b2 = 0

Solving
6b + 1b2 = 0

Solving for variable 'b'.

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

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}