s^3t-st^3=

Solution for s^3t-st^3= equation:

Simplifying
s3t + -1st3 = 0

Reorder the terms:
-1st3 + s3t = 0

Solving
-1st3 + s3t = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 'st'.
st(-1t2 + s2) = 0

Factor a difference between two squares.
st((t + s)(-1t + s)) = 0

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

Simplifying
st = 0

Solving
st = 0

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

Simplifying
st = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(t + s)' equal to zero and attempt to solve:

Simplifying
t + s = 0

Reorder the terms:
s + t = 0

Solving
s + t = 0

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

Add '-1t' to each side of the equation.
s + t + -1t = 0 + -1t

Combine like terms: t + -1t = 0
s + 0 = 0 + -1t
s = 0 + -1t
Remove the zero:
s = -1t

Simplifying
s = -1t
Subproblem 3
Set the factor '(-1t + s)' equal to zero and attempt to solve:

Simplifying
-1t + s = 0

Reorder the terms:
s + -1t = 0

Solving
s + -1t = 0

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

Add 't' to each side of the equation.
s + -1t + t = 0 + t

Combine like terms: -1t + t = 0
s + 0 = 0 + t
s = 0 + t
Remove the zero:
s = t

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