s(9+s)=252

Solution for s(9+s)=252 equation:

Simplifying
s(9 + s) = 252
(9 * s + s * s) = 252
(9s + s2) = 252

Solving
9s + s2 = 252

Solving for variable 's'.

Reorder the terms:
-252 + 9s + s2 = 252 + -252

Combine like terms: 252 + -252 = 0
-252 + 9s + s2 = 0

Factor a trinomial.
(-21 + -1s)(12 + -1s) = 0

Subproblem 1
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
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 = {-21, 12}