(2b+2)(3b+1)=

Solution for (2b+2)(3b+1)= equation:

Simplifying
(2b + 2)(3b + 1) = 0

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

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

Multiply (2 + 2b) * (1 + 3b)
(2(1 + 3b) + 2b * (1 + 3b)) = 0
((1 * 2 + 3b * 2) + 2b * (1 + 3b)) = 0
((2 + 6b) + 2b * (1 + 3b)) = 0
(2 + 6b + (1 * 2b + 3b * 2b)) = 0
(2 + 6b + (2b + 6b2)) = 0

Combine like terms: 6b + 2b = 8b
(2 + 8b + 6b2) = 0

Solving
2 + 8b + 6b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 4b + 3b2) = 0

Factor a trinomial.
2((1 + b)(1 + 3b)) = 0

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

Simplifying
1 + b = 0

Solving
1 + b = 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 + b = 0 + -1

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

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

Simplifying
b = -1
Subproblem 2
Set the factor '(1 + 3b)' equal to zero and attempt to solve:

Simplifying
1 + 3b = 0

Solving
1 + 3b = 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 + 3b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3b = 0 + -1
3b = 0 + -1

Combine like terms: 0 + -1 = -1
3b = -1

Divide each side by '3'.
b = -0.3333333333

Simplifying
b = -0.3333333333
Solution
b = {-1, -0.3333333333}