(5b-2)(8b+1)=

Solution for (5b-2)(8b+1)= equation:

Simplifying
(5b + -2)(8b + 1) = 0

Reorder the terms:
(-2 + 5b)(8b + 1) = 0

Reorder the terms:
(-2 + 5b)(1 + 8b) = 0

Multiply (-2 + 5b) * (1 + 8b)
(-2(1 + 8b) + 5b * (1 + 8b)) = 0
((1 * -2 + 8b * -2) + 5b * (1 + 8b)) = 0
((-2 + -16b) + 5b * (1 + 8b)) = 0
(-2 + -16b + (1 * 5b + 8b * 5b)) = 0
(-2 + -16b + (5b + 40b2)) = 0

Combine like terms: -16b + 5b = -11b
(-2 + -11b + 40b2) = 0

Solving
-2 + -11b + 40b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-1 + -8b)(2 + -5b) = 0

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

Simplifying
-1 + -8b = 0

Solving
-1 + -8b = 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 + -8b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -8b = 0 + 1
-8b = 0 + 1

Combine like terms: 0 + 1 = 1
-8b = 1

Divide each side by '-8'.
b = -0.125

Simplifying
b = -0.125
Subproblem 2
Set the factor '(2 + -5b)' equal to zero and attempt to solve:

Simplifying
2 + -5b = 0

Solving
2 + -5b = 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 + -5b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5b = 0 + -2
-5b = 0 + -2

Combine like terms: 0 + -2 = -2
-5b = -2

Divide each side by '-5'.
b = 0.4

Simplifying
b = 0.4
Solution
b = {-0.125, 0.4}