(2b-1)(3b+4)=

Solution for (2b-1)(3b+4)= equation:

Simplifying
(2b + -1)(3b + 4) = 0

Reorder the terms:
(-1 + 2b)(3b + 4) = 0

Reorder the terms:
(-1 + 2b)(4 + 3b) = 0

Multiply (-1 + 2b) * (4 + 3b)
(-1(4 + 3b) + 2b * (4 + 3b)) = 0
((4 * -1 + 3b * -1) + 2b * (4 + 3b)) = 0
((-4 + -3b) + 2b * (4 + 3b)) = 0
(-4 + -3b + (4 * 2b + 3b * 2b)) = 0
(-4 + -3b + (8b + 6b2)) = 0

Combine like terms: -3b + 8b = 5b
(-4 + 5b + 6b2) = 0

Solving
-4 + 5b + 6b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-4 + -3b)(1 + -2b) = 0

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

Simplifying
1 + -2b = 0

Solving
1 + -2b = 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 + -2b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2b = 0 + -1
-2b = 0 + -1

Combine like terms: 0 + -1 = -1
-2b = -1

Divide each side by '-2'.
b = 0.5

Simplifying
b = 0.5
Solution
b = {-1.333333333, 0.5}