(3t-su)(2t-su)=

Solution for (3t-su)(2t-su)= equation:

Simplifying
(3t + -1su)(2t + -1su) = 0

Reorder the terms:
(-1su + 3t)(2t + -1su) = 0

Reorder the terms:
(-1su + 3t)(-1su + 2t) = 0

Multiply (-1su + 3t) * (-1su + 2t)
(-1su * (-1su + 2t) + 3t * (-1su + 2t)) = 0
((-1su * -1su + 2t * -1su) + 3t * (-1su + 2t)) = 0

Reorder the terms:
((-2stu + 1s2u2) + 3t * (-1su + 2t)) = 0
((-2stu + 1s2u2) + 3t * (-1su + 2t)) = 0
(-2stu + 1s2u2 + (-1su * 3t + 2t * 3t)) = 0
(-2stu + 1s2u2 + (-3stu + 6t2)) = 0

Reorder the terms:
(-2stu + -3stu + 1s2u2 + 6t2) = 0

Combine like terms: -2stu + -3stu = -5stu
(-5stu + 1s2u2 + 6t2) = 0

Solving
-5stu + 1s2u2 + 6t2 = 0

Solving for variable 's'.

Factor a trinomial.
(su + -3t)(su + -2t) = 0

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

Simplifying
su + -3t = 0

Solving
su + -3t = 0

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

Add '3t' to each side of the equation.
su + -3t + 3t = 0 + 3t

Combine like terms: -3t + 3t = 0
su + 0 = 0 + 3t
su = 0 + 3t
Remove the zero:
su = 3t

Divide each side by 'u'.
s = 3tu-1

Simplifying
s = 3tu-1
Subproblem 2
Set the factor '(su + -2t)' equal to zero and attempt to solve:

Simplifying
su + -2t = 0

Solving
su + -2t = 0

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

Add '2t' to each side of the equation.
su + -2t + 2t = 0 + 2t

Combine like terms: -2t + 2t = 0
su + 0 = 0 + 2t
su = 0 + 2t
Remove the zero:
su = 2t

Divide each side by 'u'.
s = 2tu-1

Simplifying
s = 2tu-1
Solution
s = {3tu-1, 2tu-1}