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

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

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

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

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

Multiply (-1 + 3b) * (3 + 4b)
(-1(3 + 4b) + 3b * (3 + 4b)) = 0
((3 * -1 + 4b * -1) + 3b * (3 + 4b)) = 0
((-3 + -4b) + 3b * (3 + 4b)) = 0
(-3 + -4b + (3 * 3b + 4b * 3b)) = 0
(-3 + -4b + (9b + 12b2)) = 0

Combine like terms: -4b + 9b = 5b
(-3 + 5b + 12b2) = 0

Solving
-3 + 5b + 12b2 = 0

Solving for variable 'b'.

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

Subproblem 1
Set the factor '(-3 + -4b)' equal to zero and attempt to solve:

Simplifying
-3 + -4b = 0

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

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

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

Divide each side by '-4'.
b = -0.75

Simplifying
b = -0.75
Subproblem 2
Set the factor '(1 + -3b)' equal to zero and attempt to solve:

Simplifying
1 + -3b = 0

Solving
1 + -3b = 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 + -3b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3b = 0 + -1
-3b = 0 + -1

Combine like terms: 0 + -1 = -1
-3b = -1

Divide each side by '-3'.
b = 0.3333333333

Simplifying
b = 0.3333333333
Solution
b = {-0.75, 0.3333333333}