(n+4)(n+9)=

Solution for (n+4)(n+9)= equation:

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

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

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

Multiply (4 + n) * (9 + n)
(4(9 + n) + n(9 + n)) = 0
((9 * 4 + n * 4) + n(9 + n)) = 0
((36 + 4n) + n(9 + n)) = 0
(36 + 4n + (9 * n + n * n)) = 0
(36 + 4n + (9n + n2)) = 0

Combine like terms: 4n + 9n = 13n
(36 + 13n + n2) = 0

Solving
36 + 13n + n2 = 0

Solving for variable 'n'.

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

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

Simplifying
9 + n = 0

Solving
9 + n = 0

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

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

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

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

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

Simplifying
4 + n = 0

Solving
4 + n = 0

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

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

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

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

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