2s^2-3st-2t^2=0

Solution for 2s^2-3st-2t^2=0 equation:

Simplifying
2s2 + -3st + -2t2 = 0

Reorder the terms:
-3st + 2s2 + -2t2 = 0

Solving
-3st + 2s2 + -2t2 = 0

Solving for variable 's'.

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

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

Simplifying
s + -2t = 0

Solving
s + -2t = 0

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

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

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

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

Simplifying
2s + t = 0

Solving
2s + t = 0

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

Add '-1t' to each side of the equation.
2s + t + -1t = 0 + -1t

Combine like terms: t + -1t = 0
2s + 0 = 0 + -1t
2s = 0 + -1t
Remove the zero:
2s = -1t

Divide each side by '2'.
s = -0.5t

Simplifying
s = -0.5t
Solution
s = {2t, -0.5t}