s^2-s-3=s

Solution for s^2-s-3=s equation:

Simplifying
s2 + -1s + -3 = s

Reorder the terms:
-3 + -1s + s2 = s

Solving
-3 + -1s + s2 = s

Solving for variable 's'.

Reorder the terms:
-3 + -1s + -1s + s2 = s + -1s

Combine like terms: -1s + -1s = -2s
-3 + -2s + s2 = s + -1s

Combine like terms: s + -1s = 0
-3 + -2s + s2 = 0

Factor a trinomial.
(-1 + -1s)(3 + -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 '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Divide each side by '-1'.
s = 3

Simplifying
s = 3
Solution
s = {-1, 3}