(2b+1)*(6b+2)=

Solution for (2b+1)*(6b+2)= equation:

Simplifying
(2b + 1)(6b + 2) = 0

Reorder the terms:
(1 + 2b)(6b + 2) = 0

Reorder the terms:
(1 + 2b)(2 + 6b) = 0

Multiply (1 + 2b) * (2 + 6b)
(1(2 + 6b) + 2b * (2 + 6b)) = 0
((2 * 1 + 6b * 1) + 2b * (2 + 6b)) = 0
((2 + 6b) + 2b * (2 + 6b)) = 0
(2 + 6b + (2 * 2b + 6b * 2b)) = 0
(2 + 6b + (4b + 12b2)) = 0

Combine like terms: 6b + 4b = 10b
(2 + 10b + 12b2) = 0

Solving
2 + 10b + 12b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 5b + 6b2) = 0

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

Ignore the factor 2.
Subproblem 1
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
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 = {-0.5, -0.3333333333}