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

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

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

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

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

Multiply (-3 + 4b) * (4 + 2b)
(-3(4 + 2b) + 4b * (4 + 2b)) = 0
((4 * -3 + 2b * -3) + 4b * (4 + 2b)) = 0
((-12 + -6b) + 4b * (4 + 2b)) = 0
(-12 + -6b + (4 * 4b + 2b * 4b)) = 0
(-12 + -6b + (16b + 8b2)) = 0

Combine like terms: -6b + 16b = 10b
(-12 + 10b + 8b2) = 0

Solving
-12 + 10b + 8b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 5b + 4b2) = 0

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

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

Simplifying
-2 + -1b = 0

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

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

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

Divide each side by '-1'.
b = -2

Simplifying
b = -2
Subproblem 2
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
Solution
b = {-2, 0.75}