35=s(s-2)

Solution for 35=s(s-2) equation:

Simplifying
35 = s(s + -2)

Reorder the terms:
35 = s(-2 + s)
35 = (-2 * s + s * s)
35 = (-2s + s2)

Solving
35 = -2s + s2

Solving for variable 's'.

Reorder the terms:
35 + 2s + -1s2 = -2s + 2s + s2 + -1s2

Combine like terms: -2s + 2s = 0
35 + 2s + -1s2 = 0 + s2 + -1s2
35 + 2s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
35 + 2s + -1s2 = 0

Factor a trinomial.
(7 + -1s)(5 + s) = 0

Subproblem 1
Set the factor '(7 + -1s)' equal to zero and attempt to solve:

Simplifying
7 + -1s = 0

Solving
7 + -1s = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1s = 0 + -7

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

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

Divide each side by '-1'.
s = 7

Simplifying
s = 7
Subproblem 2
Set the factor '(5 + s)' equal to zero and attempt to solve:

Simplifying
5 + s = 0

Solving
5 + s = 0

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

Add '-5' to each side of the equation.
5 + -5 + s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + s = 0 + -5
s = 0 + -5

Combine like terms: 0 + -5 = -5
s = -5

Simplifying
s = -5
Solution
s = {7, -5}