s(s-1)=2

Solution for s(s-1)=2 equation:

Simplifying
s(s + -1) = 2

Reorder the terms:
s(-1 + s) = 2
(-1 * s + s * s) = 2
(-1s + s2) = 2

Solving
-1s + s2 = 2

Solving for variable 's'.

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

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

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

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

Simplifying
-1 + -1s = 0

Solving
-1 + -1s = 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 + -1s = 0 + 1

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

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

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

Simplifying
s = -1
Subproblem 2
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
Solution
s = {-1, 2}