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

Solution for (4b+4)(3b-5)=0 equation:

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

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

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

Multiply (4 + 4b) * (-5 + 3b)
(4(-5 + 3b) + 4b * (-5 + 3b)) = 0
((-5 * 4 + 3b * 4) + 4b * (-5 + 3b)) = 0
((-20 + 12b) + 4b * (-5 + 3b)) = 0
(-20 + 12b + (-5 * 4b + 3b * 4b)) = 0
(-20 + 12b + (-20b + 12b2)) = 0

Combine like terms: 12b + -20b = -8b
(-20 + -8b + 12b2) = 0

Solving
-20 + -8b + 12b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + -2b + 3b2) = 0

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

Ignore the factor 4.
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 '(5 + -3b)' equal to zero and attempt to solve:

Simplifying
5 + -3b = 0

Solving
5 + -3b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -3b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3b = 0 + -5
-3b = 0 + -5

Combine like terms: 0 + -5 = -5
-3b = -5

Divide each side by '-3'.
b = 1.666666667

Simplifying
b = 1.666666667
Solution
b = {-1, 1.666666667}