(b+8)(5b+4)=

Solution for (b+8)(5b+4)= equation:

Simplifying
(b + 8)(5b + 4) = 0

Reorder the terms:
(8 + b)(5b + 4) = 0

Reorder the terms:
(8 + b)(4 + 5b) = 0

Multiply (8 + b) * (4 + 5b)
(8(4 + 5b) + b(4 + 5b)) = 0
((4 * 8 + 5b * 8) + b(4 + 5b)) = 0
((32 + 40b) + b(4 + 5b)) = 0
(32 + 40b + (4 * b + 5b * b)) = 0
(32 + 40b + (4b + 5b2)) = 0

Combine like terms: 40b + 4b = 44b
(32 + 44b + 5b2) = 0

Solving
32 + 44b + 5b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(8 + b)(4 + 5b) = 0

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

Simplifying
8 + b = 0

Solving
8 + b = 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 + b = 0 + -8

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

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

Simplifying
b = -8
Subproblem 2
Set the factor '(4 + 5b)' equal to zero and attempt to solve:

Simplifying
4 + 5b = 0

Solving
4 + 5b = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5b = 0 + -4
5b = 0 + -4

Combine like terms: 0 + -4 = -4
5b = -4

Divide each side by '5'.
b = -0.8

Simplifying
b = -0.8
Solution
b = {-8, -0.8}