(b+7)(b+9)=0

Solution for (b+7)(b+9)=0 equation:

Simplifying
(b + 7)(b + 9) = 0

Reorder the terms:
(7 + b)(b + 9) = 0

Reorder the terms:
(7 + b)(9 + b) = 0

Multiply (7 + b) * (9 + b)
(7(9 + b) + b(9 + b)) = 0
((9 * 7 + b * 7) + b(9 + b)) = 0
((63 + 7b) + b(9 + b)) = 0
(63 + 7b + (9 * b + b * b)) = 0
(63 + 7b + (9b + b2)) = 0

Combine like terms: 7b + 9b = 16b
(63 + 16b + b2) = 0

Solving
63 + 16b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(9 + b)(7 + b) = 0

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

Simplifying
9 + b = 0

Solving
9 + b = 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 + b = 0 + -9

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

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

Simplifying
b = -9
Subproblem 2
Set the factor '(7 + b)' equal to zero and attempt to solve:

Simplifying
7 + b = 0

Solving
7 + b = 0

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

Add '-7' to each side of the equation.
7 + -7 + b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + b = 0 + -7
b = 0 + -7

Combine like terms: 0 + -7 = -7
b = -7

Simplifying
b = -7
Solution
b = {-9, -7}