(b-5)(b+9)=

Solution for (b-5)(b+9)= equation:

Simplifying
(b + -5)(b + 9) = 0

Reorder the terms:
(-5 + b)(b + 9) = 0

Reorder the terms:
(-5 + b)(9 + b) = 0

Multiply (-5 + b) * (9 + b)
(-5(9 + b) + b(9 + b)) = 0
((9 * -5 + b * -5) + b(9 + b)) = 0
((-45 + -5b) + b(9 + b)) = 0
(-45 + -5b + (9 * b + b * b)) = 0
(-45 + -5b + (9b + b2)) = 0

Combine like terms: -5b + 9b = 4b
(-45 + 4b + b2) = 0

Solving
-45 + 4b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-9 + -1b)(5 + -1b) = 0

Subproblem 1
Set the factor '(-9 + -1b)' equal to zero and attempt to solve:

Simplifying
-9 + -1b = 0

Solving
-9 + -1b = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1b = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1b = 0 + 9
-1b = 0 + 9

Combine like terms: 0 + 9 = 9
-1b = 9

Divide each side by '-1'.
b = -9

Simplifying
b = -9
Subproblem 2
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
Solution
b = {-9, 5}