s(s+4)=192

Solution for s(s+4)=192 equation:

Simplifying
s(s + 4) = 192

Reorder the terms:
s(4 + s) = 192
(4 * s + s * s) = 192
(4s + s2) = 192

Solving
4s + s2 = 192

Solving for variable 's'.

Reorder the terms:
-192 + 4s + s2 = 192 + -192

Combine like terms: 192 + -192 = 0
-192 + 4s + s2 = 0

Factor a trinomial.
(-16 + -1s)(12 + -1s) = 0

Subproblem 1
Set the factor '(-16 + -1s)' equal to zero and attempt to solve:

Simplifying
-16 + -1s = 0

Solving
-16 + -1s = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1s = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1s = 0 + 16
-1s = 0 + 16

Combine like terms: 0 + 16 = 16
-1s = 16

Divide each side by '-1'.
s = -16

Simplifying
s = -16
Subproblem 2
Set the factor '(12 + -1s)' equal to zero and attempt to solve:

Simplifying
12 + -1s = 0

Solving
12 + -1s = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1s = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1s = 0 + -12
-1s = 0 + -12

Combine like terms: 0 + -12 = -12
-1s = -12

Divide each side by '-1'.
s = 12

Simplifying
s = 12
Solution
s = {-16, 12}