2s^2=s

Solution for 2s^2=s equation:

Simplifying
2s2 = s

Solving
2s2 = s

Solving for variable 's'.

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

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

Factor out the Greatest Common Factor (GCF), 's'.
s(-1 + 2s) = 0

Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0
Subproblem 2
Set the factor '(-1 + 2s)' equal to zero and attempt to solve:

Simplifying
-1 + 2s = 0

Solving
-1 + 2s = 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 + 2s = 0 + 1

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

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

Divide each side by '2'.
s = 0.5

Simplifying
s = 0.5
Solution
s = {0, 0.5}