(N+5)(N+3)=

Solution for (N+5)(N+3)= equation:

Simplifying
(N + 5)(N + 3) = 0

Reorder the terms:
(5 + N)(N + 3) = 0

Reorder the terms:
(5 + N)(3 + N) = 0

Multiply (5 + N) * (3 + N)
(5(3 + N) + N(3 + N)) = 0
((3 * 5 + N * 5) + N(3 + N)) = 0
((15 + 5N) + N(3 + N)) = 0
(15 + 5N + (3 * N + N * N)) = 0
(15 + 5N + (3N + N2)) = 0

Combine like terms: 5N + 3N = 8N
(15 + 8N + N2) = 0

Solving
15 + 8N + N2 = 0

Solving for variable 'N'.

Factor a trinomial.
(5 + N)(3 + N) = 0

Subproblem 1
Set the factor '(5 + N)' equal to zero and attempt to solve:

Simplifying
5 + N = 0

Solving
5 + N = 0

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

Add '-5' to each side of the equation.
5 + -5 + N = 0 + -5

Combine like terms: 5 + -5 = 0
0 + N = 0 + -5
N = 0 + -5

Combine like terms: 0 + -5 = -5
N = -5

Simplifying
N = -5
Subproblem 2
Set the factor '(3 + N)' equal to zero and attempt to solve:

Simplifying
3 + N = 0

Solving
3 + N = 0

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

Add '-3' to each side of the equation.
3 + -3 + N = 0 + -3

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

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

Simplifying
N = -3
Solution
N = {-5, -3}