(2s+3)(s+4)=228

Solution for (2s+3)(s+4)=228 equation:

Simplifying
(2s + 3)(s + 4) = 228

Reorder the terms:
(3 + 2s)(s + 4) = 228

Reorder the terms:
(3 + 2s)(4 + s) = 228

Multiply (3 + 2s) * (4 + s)
(3(4 + s) + 2s * (4 + s)) = 228
((4 * 3 + s * 3) + 2s * (4 + s)) = 228
((12 + 3s) + 2s * (4 + s)) = 228
(12 + 3s + (4 * 2s + s * 2s)) = 228
(12 + 3s + (8s + 2s2)) = 228

Combine like terms: 3s + 8s = 11s
(12 + 11s + 2s2) = 228

Solving
12 + 11s + 2s2 = 228

Solving for variable 's'.

Reorder the terms:
12 + -228 + 11s + 2s2 = 228 + -228

Combine like terms: 12 + -228 = -216
-216 + 11s + 2s2 = 228 + -228

Combine like terms: 228 + -228 = 0
-216 + 11s + 2s2 = 0

Factor a trinomial.
(-27 + -2s)(8 + -1s) = 0

Subproblem 1
Set the factor '(-27 + -2s)' equal to zero and attempt to solve:

Simplifying
-27 + -2s = 0

Solving
-27 + -2s = 0

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

Add '27' to each side of the equation.
-27 + 27 + -2s = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -2s = 0 + 27
-2s = 0 + 27

Combine like terms: 0 + 27 = 27
-2s = 27

Divide each side by '-2'.
s = -13.5

Simplifying
s = -13.5
Subproblem 2
Set the factor '(8 + -1s)' equal to zero and attempt to solve:

Simplifying
8 + -1s = 0

Solving
8 + -1s = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1s = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1s = 0 + -8
-1s = 0 + -8

Combine like terms: 0 + -8 = -8
-1s = -8

Divide each side by '-1'.
s = 8

Simplifying
s = 8
Solution
s = {-13.5, 8}