s^2-t^2-2s-4t-3=(t-s+3)(t+s+1)

Solution for s^2-t^2-2s-4t-3=(t-s+3)(t+s+1) equation:

Simplifying
s2 + -1t2 + -2s + -4t + -3 = (t + -1s + 3)(t + s + 1)

Reorder the terms:
-3 + -2s + s2 + -4t + -1t2 = (t + -1s + 3)(t + s + 1)

Reorder the terms:
-3 + -2s + s2 + -4t + -1t2 = (3 + -1s + t)(t + s + 1)

Reorder the terms:
-3 + -2s + s2 + -4t + -1t2 = (3 + -1s + t)(1 + s + t)

Multiply (3 + -1s + t) * (1 + s + t)
-3 + -2s + s2 + -4t + -1t2 = (3(1 + s + t) + -1s * (1 + s + t) + t(1 + s + t))
-3 + -2s + s2 + -4t + -1t2 = ((1 * 3 + s * 3 + t * 3) + -1s * (1 + s + t) + t(1 + s + t))
-3 + -2s + s2 + -4t + -1t2 = ((3 + 3s + 3t) + -1s * (1 + s + t) + t(1 + s + t))
-3 + -2s + s2 + -4t + -1t2 = (3 + 3s + 3t + (1 * -1s + s * -1s + t * -1s) + t(1 + s + t))

Reorder the terms:
-3 + -2s + s2 + -4t + -1t2 = (3 + 3s + 3t + (-1s + -1st + -1s2) + t(1 + s + t))
-3 + -2s + s2 + -4t + -1t2 = (3 + 3s + 3t + (-1s + -1st + -1s2) + t(1 + s + t))
-3 + -2s + s2 + -4t + -1t2 = (3 + 3s + 3t + -1s + -1st + -1s2 + (1 * t + s * t + t * t))

Reorder the terms:
-3 + -2s + s2 + -4t + -1t2 = (3 + 3s + 3t + -1s + -1st + -1s2 + (st + 1t + t2))
-3 + -2s + s2 + -4t + -1t2 = (3 + 3s + 3t + -1s + -1st + -1s2 + (st + 1t + t2))

Reorder the terms:
-3 + -2s + s2 + -4t + -1t2 = (3 + 3s + -1s + -1st + st + -1s2 + 3t + 1t + t2)

Combine like terms: 3s + -1s = 2s
-3 + -2s + s2 + -4t + -1t2 = (3 + 2s + -1st + st + -1s2 + 3t + 1t + t2)

Combine like terms: -1st + st = 0
-3 + -2s + s2 + -4t + -1t2 = (3 + 2s + 0 + -1s2 + 3t + 1t + t2)
-3 + -2s + s2 + -4t + -1t2 = (3 + 2s + -1s2 + 3t + 1t + t2)

Combine like terms: 3t + 1t = 4t
-3 + -2s + s2 + -4t + -1t2 = (3 + 2s + -1s2 + 4t + t2)

Solving
-3 + -2s + s2 + -4t + -1t2 = 3 + 2s + -1s2 + 4t + t2

Solving for variable 's'.

Reorder the terms:
-3 + -3 + -2s + -2s + s2 + s2 + -4t + -4t + -1t2 + -1t2 = 3 + 2s + -1s2 + 4t + t2 + -3 + -2s + s2 + -4t + -1t2

Combine like terms: -3 + -3 = -6
-6 + -2s + -2s + s2 + s2 + -4t + -4t + -1t2 + -1t2 = 3 + 2s + -1s2 + 4t + t2 + -3 + -2s + s2 + -4t + -1t2

Combine like terms: -2s + -2s = -4s
-6 + -4s + s2 + s2 + -4t + -4t + -1t2 + -1t2 = 3 + 2s + -1s2 + 4t + t2 + -3 + -2s + s2 + -4t + -1t2

Combine like terms: s2 + s2 = 2s2
-6 + -4s + 2s2 + -4t + -4t + -1t2 + -1t2 = 3 + 2s + -1s2 + 4t + t2 + -3 + -2s + s2 + -4t + -1t2

Combine like terms: -4t + -4t = -8t
-6 + -4s + 2s2 + -8t + -1t2 + -1t2 = 3 + 2s + -1s2 + 4t + t2 + -3 + -2s + s2 + -4t + -1t2

Combine like terms: -1t2 + -1t2 = -2t2
-6 + -4s + 2s2 + -8t + -2t2 = 3 + 2s + -1s2 + 4t + t2 + -3 + -2s + s2 + -4t + -1t2

Reorder the terms:
-6 + -4s + 2s2 + -8t + -2t2 = 3 + -3 + 2s + -2s + -1s2 + s2 + 4t + -4t + t2 + -1t2

Combine like terms: 3 + -3 = 0
-6 + -4s + 2s2 + -8t + -2t2 = 0 + 2s + -2s + -1s2 + s2 + 4t + -4t + t2 + -1t2
-6 + -4s + 2s2 + -8t + -2t2 = 2s + -2s + -1s2 + s2 + 4t + -4t + t2 + -1t2

Combine like terms: 2s + -2s = 0
-6 + -4s + 2s2 + -8t + -2t2 = 0 + -1s2 + s2 + 4t + -4t + t2 + -1t2
-6 + -4s + 2s2 + -8t + -2t2 = -1s2 + s2 + 4t + -4t + t2 + -1t2

Combine like terms: -1s2 + s2 = 0
-6 + -4s + 2s2 + -8t + -2t2 = 0 + 4t + -4t + t2 + -1t2
-6 + -4s + 2s2 + -8t + -2t2 = 4t + -4t + t2 + -1t2

Combine like terms: 4t + -4t = 0
-6 + -4s + 2s2 + -8t + -2t2 = 0 + t2 + -1t2
-6 + -4s + 2s2 + -8t + -2t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-6 + -4s + 2s2 + -8t + -2t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -2s + s2 + -4t + -1t2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -2s + s2 + -4t + -1t2)' equal to zero and attempt to solve:

Simplifying
-3 + -2s + s2 + -4t + -1t2 = 0

Solving
-3 + -2s + s2 + -4t + -1t2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.