(6b+1)(7b+8)=

Solution for (6b+1)(7b+8)= equation:

Simplifying
(6b + 1)(7b + 8) = 0

Reorder the terms:
(1 + 6b)(7b + 8) = 0

Reorder the terms:
(1 + 6b)(8 + 7b) = 0

Multiply (1 + 6b) * (8 + 7b)
(1(8 + 7b) + 6b * (8 + 7b)) = 0
((8 * 1 + 7b * 1) + 6b * (8 + 7b)) = 0
((8 + 7b) + 6b * (8 + 7b)) = 0
(8 + 7b + (8 * 6b + 7b * 6b)) = 0
(8 + 7b + (48b + 42b2)) = 0

Combine like terms: 7b + 48b = 55b
(8 + 55b + 42b2) = 0

Solving
8 + 55b + 42b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(8 + 7b)(1 + 6b) = 0

Subproblem 1
Set the factor '(8 + 7b)' equal to zero and attempt to solve:

Simplifying
8 + 7b = 0

Solving
8 + 7b = 0

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

Add '-8' to each side of the equation.
8 + -8 + 7b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7b = 0 + -8
7b = 0 + -8

Combine like terms: 0 + -8 = -8
7b = -8

Divide each side by '7'.
b = -1.142857143

Simplifying
b = -1.142857143
Subproblem 2
Set the factor '(1 + 6b)' equal to zero and attempt to solve:

Simplifying
1 + 6b = 0

Solving
1 + 6b = 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 + 6b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6b = 0 + -1
6b = 0 + -1

Combine like terms: 0 + -1 = -1
6b = -1

Divide each side by '6'.
b = -0.1666666667

Simplifying
b = -0.1666666667
Solution
b = {-1.142857143, -0.1666666667}