81-18s-3s^2=

Solution for 81-18s-3s^2= equation:

Simplifying
81 + -18s + -3s2 = 0

Solving
81 + -18s + -3s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3'.
3(27 + -6s + -1s2) = 0

Factor a trinomial.
3((3 + -1s)(9 + s)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Divide each side by '-1'.
s = 3

Simplifying
s = 3
Subproblem 2
Set the factor '(9 + s)' equal to zero and attempt to solve:

Simplifying
9 + s = 0

Solving
9 + s = 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 + s = 0 + -9

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

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

Simplifying
s = -9
Solution
s = {3, -9}