10=s(s-9)

Solution for 10=s(s-9) equation:

Simplifying
10 = s(s + -9)

Reorder the terms:
10 = s(-9 + s)
10 = (-9 * s + s * s)
10 = (-9s + s2)

Solving
10 = -9s + s2

Solving for variable 's'.

Reorder the terms:
10 + 9s + -1s2 = -9s + 9s + s2 + -1s2

Combine like terms: -9s + 9s = 0
10 + 9s + -1s2 = 0 + s2 + -1s2
10 + 9s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
10 + 9s + -1s2 = 0

Factor a trinomial.
(10 + -1s)(1 + s) = 0

Subproblem 1
Set the factor '(10 + -1s)' equal to zero and attempt to solve:

Simplifying
10 + -1s = 0

Solving
10 + -1s = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1s = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1s = 0 + -10
-1s = 0 + -10

Combine like terms: 0 + -10 = -10
-1s = -10

Divide each side by '-1'.
s = 10

Simplifying
s = 10
Subproblem 2
Set the factor '(1 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

Solving
1 + s = 0

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

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

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

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

Simplifying
s = -1
Solution
s = {10, -1}