27=s(s-6)

Solution for 27=s(s-6) equation:

Simplifying
27 = s(s + -6)

Reorder the terms:
27 = s(-6 + s)
27 = (-6 * s + s * s)
27 = (-6s + s2)

Solving
27 = -6s + s2

Solving for variable 's'.

Reorder the terms:
27 + 6s + -1s2 = -6s + 6s + s2 + -1s2

Combine like terms: -6s + 6s = 0
27 + 6s + -1s2 = 0 + s2 + -1s2
27 + 6s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
27 + 6s + -1s2 = 0

Factor a trinomial.
(9 + -1s)(3 + s) = 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 + s)' equal to zero and attempt to solve:

Simplifying
3 + s = 0

Solving
3 + s = 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 + s = 0 + -3

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

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

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