8=s(s-7)

Solution for 8=s(s-7) equation:

Simplifying
8 = s(s + -7)

Reorder the terms:
8 = s(-7 + s)
8 = (-7 * s + s * s)
8 = (-7s + s2)

Solving
8 = -7s + s2

Solving for variable 's'.

Reorder the terms:
8 + 7s + -1s2 = -7s + 7s + s2 + -1s2

Combine like terms: -7s + 7s = 0
8 + 7s + -1s2 = 0 + s2 + -1s2
8 + 7s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
8 + 7s + -1s2 = 0

Factor a trinomial.
(8 + -1s)(1 + s) = 0

Subproblem 1
Set the factor '(8 + -1s)' equal to zero and attempt to solve:

Simplifying
8 + -1s = 0

Solving
8 + -1s = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1s = 0 + -8

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

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

Divide each side by '-1'.
s = 8

Simplifying
s = 8
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 = {8, -1}