2s^2-27s+63=0

Solution for 2s^2-27s+63=0 equation:

Simplifying
2s2 + -27s + 63 = 0

Reorder the terms:
63 + -27s + 2s2 = 0

Solving
63 + -27s + 2s2 = 0

Solving for variable 's'.

Factor a trinomial.
(3 + -1s)(21 + -2s) = 0

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 '(21 + -2s)' equal to zero and attempt to solve:

Simplifying
21 + -2s = 0

Solving
21 + -2s = 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 + -2s = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -2s = 0 + -21
-2s = 0 + -21

Combine like terms: 0 + -21 = -21
-2s = -21

Divide each side by '-2'.
s = 10.5

Simplifying
s = 10.5
Solution
s = {3, 10.5}