s(s+2)=483

Solution for s(s+2)=483 equation:

Simplifying
s(s + 2) = 483

Reorder the terms:
s(2 + s) = 483
(2 * s + s * s) = 483
(2s + s2) = 483

Solving
2s + s2 = 483

Solving for variable 's'.

Reorder the terms:
-483 + 2s + s2 = 483 + -483

Combine like terms: 483 + -483 = 0
-483 + 2s + s2 = 0

Factor a trinomial.
(-23 + -1s)(21 + -1s) = 0

Subproblem 1
Set the factor '(-23 + -1s)' equal to zero and attempt to solve:

Simplifying
-23 + -1s = 0

Solving
-23 + -1s = 0

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

Add '23' to each side of the equation.
-23 + 23 + -1s = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -1s = 0 + 23
-1s = 0 + 23

Combine like terms: 0 + 23 = 23
-1s = 23

Divide each side by '-1'.
s = -23

Simplifying
s = -23
Subproblem 2
Set the factor '(21 + -1s)' equal to zero and attempt to solve:

Simplifying
21 + -1s = 0

Solving
21 + -1s = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1s = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1s = 0 + -21
-1s = 0 + -21

Combine like terms: 0 + -21 = -21
-1s = -21

Divide each side by '-1'.
s = 21

Simplifying
s = 21
Solution
s = {-23, 21}