6s^2+st-2t^2=

Solution for 6s^2+st-2t^2= equation:

Simplifying
6s2 + st + -2t2 = 0

Reorder the terms:
st + 6s2 + -2t2 = 0

Solving
st + 6s2 + -2t2 = 0

Solving for variable 's'.

Factor a trinomial.
(2s + -1t)(3s + 2t) = 0

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

Simplifying
2s + -1t = 0

Solving
2s + -1t = 0

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

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

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

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

Simplifying
s = 0.5t
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 = {0.5t, -0.6666666667t}