s(s-6)=-8

Solution for s(s-6)=-8 equation:

Simplifying
s(s + -6) = -8

Reorder the terms:
s(-6 + s) = -8
(-6 * s + s * s) = -8
(-6s + s2) = -8

Solving
-6s + s2 = -8

Solving for variable 's'.

Reorder the terms:
8 + -6s + s2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + -6s + s2 = 0

Factor a trinomial.
(2 + -1s)(4 + -1s) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1s)' equal to zero and attempt to solve:

Simplifying
4 + -1s = 0

Solving
4 + -1s = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1s = 0 + -4
-1s = 0 + -4

Combine like terms: 0 + -4 = -4
-1s = -4

Divide each side by '-1'.
s = 4

Simplifying
s = 4
Solution
s = {2, 4}