(7b+6)(5b+1)=

Solution for (7b+6)(5b+1)= equation:

Simplifying
(7b + 6)(5b + 1) = 0

Reorder the terms:
(6 + 7b)(5b + 1) = 0

Reorder the terms:
(6 + 7b)(1 + 5b) = 0

Multiply (6 + 7b) * (1 + 5b)
(6(1 + 5b) + 7b * (1 + 5b)) = 0
((1 * 6 + 5b * 6) + 7b * (1 + 5b)) = 0
((6 + 30b) + 7b * (1 + 5b)) = 0
(6 + 30b + (1 * 7b + 5b * 7b)) = 0
(6 + 30b + (7b + 35b2)) = 0

Combine like terms: 30b + 7b = 37b
(6 + 37b + 35b2) = 0

Solving
6 + 37b + 35b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(6 + 7b)(1 + 5b) = 0

Subproblem 1
Set the factor '(6 + 7b)' equal to zero and attempt to solve:

Simplifying
6 + 7b = 0

Solving
6 + 7b = 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 + 7b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7b = 0 + -6
7b = 0 + -6

Combine like terms: 0 + -6 = -6
7b = -6

Divide each side by '7'.
b = -0.8571428571

Simplifying
b = -0.8571428571
Subproblem 2
Set the factor '(1 + 5b)' equal to zero and attempt to solve:

Simplifying
1 + 5b = 0

Solving
1 + 5b = 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 + 5b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5b = 0 + -1
5b = 0 + -1

Combine like terms: 0 + -1 = -1
5b = -1

Divide each side by '5'.
b = -0.2

Simplifying
b = -0.2
Solution
b = {-0.8571428571, -0.2}