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 = -1(t + -1s + 3)(t + s + 1)

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

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

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

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

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

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

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

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

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

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

Add '3' to each side of the equation.
-3 + -2s + s2 + -4t + 3 + -1t2 = -3 + -2s + 1s2 + -4t + 3 + -1t2

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

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

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

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

Add '2s' to each side of the equation.
-2s + s2 + -4t + 2s + -1t2 = -2s + 1s2 + -4t + 2s + -1t2

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

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

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

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

Add '4t' to each side of the equation.
s2 + -4t + 4t + -1t2 = 1s2 + -4t + 4t + -1t2

Combine like terms: -4t + 4t = 0
s2 + 0 + -1t2 = 1s2 + -4t + 4t + -1t2
s2 + -1t2 = 1s2 + -4t + 4t + -1t2

Combine like terms: -4t + 4t = 0
s2 + -1t2 = 1s2 + 0 + -1t2
s2 + -1t2 = 1s2 + -1t2

Add 't2' to each side of the equation.
s2 + -1t2 + t2 = 1s2 + -1t2 + t2

Combine like terms: -1t2 + t2 = 0
s2 + 0 = 1s2 + -1t2 + t2
s2 = 1s2 + -1t2 + t2

Combine like terms: -1t2 + t2 = 0
s2 = 1s2 + 0
s2 = 1s2

Solving
s2 = 1s2

Solving for variable 's'.

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

Add '-1s2' to each side of the equation.
s2 + -1s2 = 1s2 + -1s2

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

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

Simplifying
0 = 0

The solution to this equation could not be determined.