st^2-s=0

Solution for st^2-s=0 equation:

Simplifying
st2 + -1s = 0

Reorder the terms:
-1s + st2 = 0

Solving
-1s + st2 = 0

Solving for variable 's'.

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

Factor out the Greatest Common Factor (GCF), 's'.
s(-1 + t2) = 0

Factor a difference between two squares.
s((1 + t)(-1 + t)) = 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 + t)' equal to zero and attempt to solve:

Simplifying
1 + t = 0

Solving
1 + t = 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 + t = 0 + -1

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

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

Add '-1t' to each side of the equation.
t + -1t = -1 + -1t

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

Simplifying
0 = -1 + -1t

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(-1 + t)' equal to zero and attempt to solve:

Simplifying
-1 + t = 0

Solving
-1 + t = 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 + t = 0 + 1

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

Combine like terms: 0 + 1 = 1
t = 1

Add '-1t' to each side of the equation.
t + -1t = 1 + -1t

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

Simplifying
0 = 1 + -1t

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
s = {0}