s^2=27-6s

Solution for s^2=27-6s equation:

Simplifying
s2 = 27 + -6s

Solving
s2 = 27 + -6s

Solving for variable 's'.

Reorder the terms:
-27 + 6s + s2 = 27 + -6s + -27 + 6s

Reorder the terms:
-27 + 6s + s2 = 27 + -27 + -6s + 6s

Combine like terms: 27 + -27 = 0
-27 + 6s + s2 = 0 + -6s + 6s
-27 + 6s + s2 = -6s + 6s

Combine like terms: -6s + 6s = 0
-27 + 6s + s2 = 0

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

Subproblem 1
Set the factor '(-9 + -1s)' equal to zero and attempt to solve:

Simplifying
-9 + -1s = 0

Solving
-9 + -1s = 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 + -1s = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1s = 0 + 9
-1s = 0 + 9

Combine like terms: 0 + 9 = 9
-1s = 9

Divide each side by '-1'.
s = -9

Simplifying
s = -9
Subproblem 2
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
Solution
s = {-9, 3}