(7b-1)(8b+3)=

Solution for (7b-1)(8b+3)= equation:

Simplifying
(7b + -1)(8b + 3) = 0

Reorder the terms:
(-1 + 7b)(8b + 3) = 0

Reorder the terms:
(-1 + 7b)(3 + 8b) = 0

Multiply (-1 + 7b) * (3 + 8b)
(-1(3 + 8b) + 7b * (3 + 8b)) = 0
((3 * -1 + 8b * -1) + 7b * (3 + 8b)) = 0
((-3 + -8b) + 7b * (3 + 8b)) = 0
(-3 + -8b + (3 * 7b + 8b * 7b)) = 0
(-3 + -8b + (21b + 56b2)) = 0

Combine like terms: -8b + 21b = 13b
(-3 + 13b + 56b2) = 0

Solving
-3 + 13b + 56b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3 + -8b)(1 + -7b) = 0

Subproblem 1
Set the factor '(-3 + -8b)' equal to zero and attempt to solve:

Simplifying
-3 + -8b = 0

Solving
-3 + -8b = 0

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

Add '3' to each side of the equation.
-3 + 3 + -8b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8b = 0 + 3
-8b = 0 + 3

Combine like terms: 0 + 3 = 3
-8b = 3

Divide each side by '-8'.
b = -0.375

Simplifying
b = -0.375
Subproblem 2
Set the factor '(1 + -7b)' equal to zero and attempt to solve:

Simplifying
1 + -7b = 0

Solving
1 + -7b = 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 + -7b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7b = 0 + -1
-7b = 0 + -1

Combine like terms: 0 + -1 = -1
-7b = -1

Divide each side by '-7'.
b = 0.1428571429

Simplifying
b = 0.1428571429
Solution
b = {-0.375, 0.1428571429}