(s+1)(s+3)=48

Solution for (s+1)(s+3)=48 equation:

Simplifying
(s + 1)(s + 3) = 48

Reorder the terms:
(1 + s)(s + 3) = 48

Reorder the terms:
(1 + s)(3 + s) = 48

Multiply (1 + s) * (3 + s)
(1(3 + s) + s(3 + s)) = 48
((3 * 1 + s * 1) + s(3 + s)) = 48
((3 + 1s) + s(3 + s)) = 48
(3 + 1s + (3 * s + s * s)) = 48
(3 + 1s + (3s + s2)) = 48

Combine like terms: 1s + 3s = 4s
(3 + 4s + s2) = 48

Solving
3 + 4s + s2 = 48

Solving for variable 's'.

Reorder the terms:
3 + -48 + 4s + s2 = 48 + -48

Combine like terms: 3 + -48 = -45
-45 + 4s + s2 = 48 + -48

Combine like terms: 48 + -48 = 0
-45 + 4s + s2 = 0

Factor a trinomial.
(-9 + -1s)(5 + -1s) = 0

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

Simplifying
-9 + -1s = 0

Solving
-9 + -1s = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1s = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1s = 0 + 9
-1s = 0 + 9

Combine like terms: 0 + 9 = 9
-1s = 9

Divide each side by '-1'.
s = -9

Simplifying
s = -9
Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve:

Simplifying
5 + -1s = 0

Solving
5 + -1s = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1s = 0 + -5
-1s = 0 + -5

Combine like terms: 0 + -5 = -5
-1s = -5

Divide each side by '-1'.
s = 5

Simplifying
s = 5
Solution
s = {-9, 5}