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

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

Simplifying
(-3s + 2t)(4s + -1t) = 0

Multiply (-3s + 2t) * (4s + -1t)
(-3s * (4s + -1t) + 2t * (4s + -1t)) = 0
((4s * -3s + -1t * -3s) + 2t * (4s + -1t)) = 0

Reorder the terms:
((3st + -12s2) + 2t * (4s + -1t)) = 0
((3st + -12s2) + 2t * (4s + -1t)) = 0
(3st + -12s2 + (4s * 2t + -1t * 2t)) = 0
(3st + -12s2 + (8st + -2t2)) = 0

Reorder the terms:
(3st + 8st + -12s2 + -2t2) = 0

Combine like terms: 3st + 8st = 11st
(11st + -12s2 + -2t2) = 0

Solving
11st + -12s2 + -2t2 = 0

Solving for variable 's'.

Factor a trinomial.
(-4s + t)(3s + -2t) = 0

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

Simplifying
-4s + t = 0

Solving
-4s + t = 0

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

Add '-1t' to each side of the equation.
-4s + t + -1t = 0 + -1t

Combine like terms: t + -1t = 0
-4s + 0 = 0 + -1t
-4s = 0 + -1t
Remove the zero:
-4s = -1t

Divide each side by '-4'.
s = 0.25t

Simplifying
s = 0.25t
Subproblem 2
Set the factor '(3s + -2t)' equal to zero and attempt to solve:

Simplifying
3s + -2t = 0

Solving
3s + -2t = 0

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

Add '2t' to each side of the equation.
3s + -2t + 2t = 0 + 2t

Combine like terms: -2t + 2t = 0
3s + 0 = 0 + 2t
3s = 0 + 2t
Remove the zero:
3s = 2t

Divide each side by '3'.
s = 0.6666666667t

Simplifying
s = 0.6666666667t
Solution
s = {0.25t, 0.6666666667t}