(q+9)(q+4)=0

Solution for (q+9)(q+4)=0 equation:

Simplifying
(q + 9)(q + 4) = 0

Reorder the terms:
(9 + q)(q + 4) = 0

Reorder the terms:
(9 + q)(4 + q) = 0

Multiply (9 + q) * (4 + q)
(9(4 + q) + q(4 + q)) = 0
((4 * 9 + q * 9) + q(4 + q)) = 0
((36 + 9q) + q(4 + q)) = 0
(36 + 9q + (4 * q + q * q)) = 0
(36 + 9q + (4q + q2)) = 0

Combine like terms: 9q + 4q = 13q
(36 + 13q + q2) = 0

Solving
36 + 13q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(9 + q)(4 + q) = 0

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

Simplifying
9 + q = 0

Solving
9 + q = 0

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

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

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

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

Simplifying
q = -9
Subproblem 2
Set the factor '(4 + q)' equal to zero and attempt to solve:

Simplifying
4 + q = 0

Solving
4 + q = 0

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

Add '-4' to each side of the equation.
4 + -4 + q = 0 + -4

Combine like terms: 4 + -4 = 0
0 + q = 0 + -4
q = 0 + -4

Combine like terms: 0 + -4 = -4
q = -4

Simplifying
q = -4
Solution
q = {-9, -4}