(s+t)(s-t)(s+t)(s-t)=0

Solution for (s+t)(s-t)(s+t)(s-t)=0 equation:

Simplifying
(s + t)(s + -1t)(s + t)(s + -1t) = 0

Multiply (s + t) * (s + -1t)
(s(s + -1t) + t(s + -1t))(s + t)(s + -1t) = 0
((s * s + -1t * s) + t(s + -1t))(s + t)(s + -1t) = 0

Reorder the terms:
((-1st + s2) + t(s + -1t))(s + t)(s + -1t) = 0
((-1st + s2) + t(s + -1t))(s + t)(s + -1t) = 0
(-1st + s2 + (s * t + -1t * t))(s + t)(s + -1t) = 0
(-1st + s2 + (st + -1t2))(s + t)(s + -1t) = 0

Reorder the terms:
(-1st + st + s2 + -1t2)(s + t)(s + -1t) = 0

Combine like terms: -1st + st = 0
(0 + s2 + -1t2)(s + t)(s + -1t) = 0
(s2 + -1t2)(s + t)(s + -1t) = 0

Multiply (s2 + -1t2) * (s + t)
(s2(s + t) + -1t2 * (s + t))(s + -1t) = 0
((s * s2 + t * s2) + -1t2 * (s + t))(s + -1t) = 0

Reorder the terms:
((s2t + s3) + -1t2 * (s + t))(s + -1t) = 0
((s2t + s3) + -1t2 * (s + t))(s + -1t) = 0
(s2t + s3 + (s * -1t2 + t * -1t2))(s + -1t) = 0
(s2t + s3 + (-1st2 + -1t3))(s + -1t) = 0

Reorder the terms:
(-1st2 + s2t + s3 + -1t3)(s + -1t) = 0
(-1st2 + s2t + s3 + -1t3)(s + -1t) = 0

Multiply (-1st2 + s2t + s3 + -1t3) * (s + -1t)
(-1st2 * (s + -1t) + s2t(s + -1t) + s3(s + -1t) + -1t3 * (s + -1t)) = 0
((s * -1st2 + -1t * -1st2) + s2t(s + -1t) + s3(s + -1t) + -1t3 * (s + -1t)) = 0

Reorder the terms:
((1st3 + -1s2t2) + s2t(s + -1t) + s3(s + -1t) + -1t3 * (s + -1t)) = 0
((1st3 + -1s2t2) + s2t(s + -1t) + s3(s + -1t) + -1t3 * (s + -1t)) = 0
(1st3 + -1s2t2 + (s * s2t + -1t * s2t) + s3(s + -1t) + -1t3 * (s + -1t)) = 0

Reorder the terms:
(1st3 + -1s2t2 + (-1s2t2 + s3t) + s3(s + -1t) + -1t3 * (s + -1t)) = 0
(1st3 + -1s2t2 + (-1s2t2 + s3t) + s3(s + -1t) + -1t3 * (s + -1t)) = 0
(1st3 + -1s2t2 + -1s2t2 + s3t + (s * s3 + -1t * s3) + -1t3 * (s + -1t)) = 0

Reorder the terms:
(1st3 + -1s2t2 + -1s2t2 + s3t + (-1s3t + s4) + -1t3 * (s + -1t)) = 0
(1st3 + -1s2t2 + -1s2t2 + s3t + (-1s3t + s4) + -1t3 * (s + -1t)) = 0
(1st3 + -1s2t2 + -1s2t2 + s3t + -1s3t + s4 + (s * -1t3 + -1t * -1t3)) = 0
(1st3 + -1s2t2 + -1s2t2 + s3t + -1s3t + s4 + (-1st3 + 1t4)) = 0

Reorder the terms:
(1st3 + -1st3 + -1s2t2 + -1s2t2 + s3t + -1s3t + s4 + 1t4) = 0

Combine like terms: 1st3 + -1st3 = 0
(0 + -1s2t2 + -1s2t2 + s3t + -1s3t + s4 + 1t4) = 0
(-1s2t2 + -1s2t2 + s3t + -1s3t + s4 + 1t4) = 0

Combine like terms: -1s2t2 + -1s2t2 = -2s2t2
(-2s2t2 + s3t + -1s3t + s4 + 1t4) = 0

Combine like terms: s3t + -1s3t = 0
(-2s2t2 + 0 + s4 + 1t4) = 0
(-2s2t2 + s4 + 1t4) = 0

Solving
-2s2t2 + s4 + 1t4 = 0

Solving for variable 's'.

Factor a trinomial.
(s2 + -1t2)(s2 + -1t2) = 0

Factor a difference between two squares.
((s + t)(s + -1t))(s2 + -1t2) = 0

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

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

Simplifying
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 2
Set the factor '(s + -1t)' equal to zero and attempt to solve:

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

Simplifying
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 4
Set the factor '(s + -1t)' equal to zero and attempt to solve:

Simplifying
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, -1t, t}