s^2=18-7s

Solution for s^2=18-7s equation:

Simplifying
s2 = 18 + -7s

Solving
s2 = 18 + -7s

Solving for variable 's'.

Reorder the terms:
-18 + 7s + s2 = 18 + -7s + -18 + 7s

Reorder the terms:
-18 + 7s + s2 = 18 + -18 + -7s + 7s

Combine like terms: 18 + -18 = 0
-18 + 7s + s2 = 0 + -7s + 7s
-18 + 7s + s2 = -7s + 7s

Combine like terms: -7s + 7s = 0
-18 + 7s + s2 = 0

Factor a trinomial.
(-9 + -1s)(2 + -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 '(2 + -1s)' equal to zero and attempt to solve:

Simplifying
2 + -1s = 0

Solving
2 + -1s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Divide each side by '-1'.
s = 2

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