(4b-3)(2b+3b+5)=

Solution for (4b-3)(2b+3b+5)= equation:

Simplifying
(4b + -3)(2b + 3b + 5) = 0

Reorder the terms:
(-3 + 4b)(2b + 3b + 5) = 0

Reorder the terms:
(-3 + 4b)(5 + 2b + 3b) = 0

Combine like terms: 2b + 3b = 5b
(-3 + 4b)(5 + 5b) = 0

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

Combine like terms: -15b + 20b = 5b
(-15 + 5b + 20b2) = 0

Solving
-15 + 5b + 20b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-3 + b + 4b2) = 0

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

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

Simplifying
-1 + -1b = 0

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

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

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

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

Simplifying
b = -1
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 = {-1, 0.75}