(4b-1)(5b+3)=

Solution for (4b-1)(5b+3)= equation:

Simplifying
(4b + -1)(5b + 3) = 0

Reorder the terms:
(-1 + 4b)(5b + 3) = 0

Reorder the terms:
(-1 + 4b)(3 + 5b) = 0

Multiply (-1 + 4b) * (3 + 5b)
(-1(3 + 5b) + 4b * (3 + 5b)) = 0
((3 * -1 + 5b * -1) + 4b * (3 + 5b)) = 0
((-3 + -5b) + 4b * (3 + 5b)) = 0
(-3 + -5b + (3 * 4b + 5b * 4b)) = 0
(-3 + -5b + (12b + 20b2)) = 0

Combine like terms: -5b + 12b = 7b
(-3 + 7b + 20b2) = 0

Solving
-3 + 7b + 20b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3 + -5b)(1 + -4b) = 0

Subproblem 1
Set the factor '(-3 + -5b)' equal to zero and attempt to solve:

Simplifying
-3 + -5b = 0

Solving
-3 + -5b = 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 + -5b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5b = 0 + 3
-5b = 0 + 3

Combine like terms: 0 + 3 = 3
-5b = 3

Divide each side by '-5'.
b = -0.6

Simplifying
b = -0.6
Subproblem 2
Set the factor '(1 + -4b)' equal to zero and attempt to solve:

Simplifying
1 + -4b = 0

Solving
1 + -4b = 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 + -4b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4b = 0 + -1
-4b = 0 + -1

Combine like terms: 0 + -1 = -1
-4b = -1

Divide each side by '-4'.
b = 0.25

Simplifying
b = 0.25
Solution
b = {-0.6, 0.25}