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

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

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

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

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

Multiply (-4 + 3b) * (1 + 5b)
(-4(1 + 5b) + 3b * (1 + 5b)) = 0
((1 * -4 + 5b * -4) + 3b * (1 + 5b)) = 0
((-4 + -20b) + 3b * (1 + 5b)) = 0
(-4 + -20b + (1 * 3b + 5b * 3b)) = 0
(-4 + -20b + (3b + 15b2)) = 0

Combine like terms: -20b + 3b = -17b
(-4 + -17b + 15b2) = 0

Solving
-4 + -17b + 15b2 = 0

Solving for variable 'b'.

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

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

Simplifying
-1 + -5b = 0

Solving
-1 + -5b = 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 + -5b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5b = 0 + 1
-5b = 0 + 1

Combine like terms: 0 + 1 = 1
-5b = 1

Divide each side by '-5'.
b = -0.2

Simplifying
b = -0.2
Subproblem 2
Set the factor '(4 + -3b)' equal to zero and attempt to solve:

Simplifying
4 + -3b = 0

Solving
4 + -3b = 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 + -3b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3b = 0 + -4
-3b = 0 + -4

Combine like terms: 0 + -4 = -4
-3b = -4

Divide each side by '-3'.
b = 1.333333333

Simplifying
b = 1.333333333
Solution
b = {-0.2, 1.333333333}