s=s(s-8)

Solution for s=s(s-8) equation:

Simplifying
s = s(s + -8)

Reorder the terms:
s = s(-8 + s)
s = (-8 * s + s * s)
s = (-8s + s2)

Solving
s = -8s + s2

Solving for variable 's'.

Combine like terms: s + 8s = 9s
9s + -1s2 = -8s + s2 + 8s + -1s2

Reorder the terms:
9s + -1s2 = -8s + 8s + s2 + -1s2

Combine like terms: -8s + 8s = 0
9s + -1s2 = 0 + s2 + -1s2
9s + -1s2 = s2 + -1s2

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

Factor out the Greatest Common Factor (GCF), 's'.
s(9 + -1s) = 0

Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0
Subproblem 2
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
Solution
s = {0, 9}