s^2=18-3s

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

Simplifying
s2 = 18 + -3s

Solving
s2 = 18 + -3s

Solving for variable 's'.

Reorder the terms:
-18 + 3s + s2 = 18 + -3s + -18 + 3s

Reorder the terms:
-18 + 3s + s2 = 18 + -18 + -3s + 3s

Combine like terms: 18 + -18 = 0
-18 + 3s + s2 = 0 + -3s + 3s
-18 + 3s + s2 = -3s + 3s

Combine like terms: -3s + 3s = 0
-18 + 3s + s2 = 0

Factor a trinomial.
(-6 + -1s)(3 + -1s) = 0

Subproblem 1
Set the factor '(-6 + -1s)' equal to zero and attempt to solve:

Simplifying
-6 + -1s = 0

Solving
-6 + -1s = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1s = 0 + 6

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

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

Divide each side by '-1'.
s = -6

Simplifying
s = -6
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 = {-6, 3}