(11b+6)(13b+2)=0

Solution for (11b+6)(13b+2)=0 equation:

Simplifying
(11b + 6)(13b + 2) = 0

Reorder the terms:
(6 + 11b)(13b + 2) = 0

Reorder the terms:
(6 + 11b)(2 + 13b) = 0

Multiply (6 + 11b) * (2 + 13b)
(6(2 + 13b) + 11b * (2 + 13b)) = 0
((2 * 6 + 13b * 6) + 11b * (2 + 13b)) = 0
((12 + 78b) + 11b * (2 + 13b)) = 0
(12 + 78b + (2 * 11b + 13b * 11b)) = 0
(12 + 78b + (22b + 143b2)) = 0

Combine like terms: 78b + 22b = 100b
(12 + 100b + 143b2) = 0

Solving
12 + 100b + 143b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(6 + 11b)(2 + 13b) = 0

Subproblem 1
Set the factor '(6 + 11b)' equal to zero and attempt to solve:

Simplifying
6 + 11b = 0

Solving
6 + 11b = 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 + 11b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 11b = 0 + -6
11b = 0 + -6

Combine like terms: 0 + -6 = -6
11b = -6

Divide each side by '11'.
b = -0.5454545455

Simplifying
b = -0.5454545455
Subproblem 2
Set the factor '(2 + 13b)' equal to zero and attempt to solve:

Simplifying
2 + 13b = 0

Solving
2 + 13b = 0

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

Add '-2' to each side of the equation.
2 + -2 + 13b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 13b = 0 + -2
13b = 0 + -2

Combine like terms: 0 + -2 = -2
13b = -2

Divide each side by '13'.
b = -0.1538461538

Simplifying
b = -0.1538461538
Solution
b = {-0.5454545455, -0.1538461538}