(b+9)x(b+3)=

Solution for (b+9)x(b+3)= equation:

Simplifying
(b + 9) * x(b + 3) = 0

Reorder the terms:
(9 + b) * x(b + 3) = 0

Reorder the terms:
(9 + b) * x(3 + b) = 0

Reorder the terms for easier multiplication:
x(9 + b)(3 + b) = 0

Multiply (9 + b) * (3 + b)
x(9(3 + b) + b(3 + b)) = 0
x((3 * 9 + b * 9) + b(3 + b)) = 0
x((27 + 9b) + b(3 + b)) = 0
x(27 + 9b + (3 * b + b * b)) = 0
x(27 + 9b + (3b + b2)) = 0

Combine like terms: 9b + 3b = 12b
x(27 + 12b + b2) = 0
(27 * x + 12b * x + b2 * x) = 0

Reorder the terms:
(12bx + b2x + 27x) = 0
(12bx + b2x + 27x) = 0

Solving
12bx + b2x + 27x = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(12b + b2 + 27) = 0

Factor a trinomial.
x((b + 3)(b + 9)) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(b + 3)' equal to zero and attempt to solve:

Simplifying
b + 3 = 0

Reorder the terms:
3 + b = 0

Solving
3 + b = 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 + b = 0 + -3

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

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

Simplifying
b = -3
Subproblem 3
Set the factor '(b + 9)' equal to zero and attempt to solve:

Simplifying
b + 9 = 0

Reorder the terms:
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
Solution
b = {-3, -9}