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

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

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

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

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

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

Combine like terms: -3b + 15b = 12b
(-15 + 12b + 3b2) = 0

Solving
-15 + 12b + 3b2 = 0

Solving for variable 'b'.

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

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

Ignore the factor 3.
Subproblem 1
Set the factor '(-5 + -1b)' equal to zero and attempt to solve:

Simplifying
-5 + -1b = 0

Solving
-5 + -1b = 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 + -1b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1b = 0 + 5
-1b = 0 + 5

Combine like terms: 0 + 5 = 5
-1b = 5

Divide each side by '-1'.
b = -5

Simplifying
b = -5
Subproblem 2
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
Solution
b = {-5, 1}