8s^2-10st+3t^2=

Solution for 8s^2-10st+3t^2= equation:

Simplifying
8s2 + -10st + 3t2 = 0

Reorder the terms:
-10st + 8s2 + 3t2 = 0

Solving
-10st + 8s2 + 3t2 = 0

Solving for variable 's'.

Factor a trinomial.
(4s + -3t)(2s + -1t) = 0

Subproblem 1
Set the factor '(4s + -3t)' equal to zero and attempt to solve:

Simplifying
4s + -3t = 0

Solving
4s + -3t = 0

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

Add '3t' to each side of the equation.
4s + -3t + 3t = 0 + 3t

Combine like terms: -3t + 3t = 0
4s + 0 = 0 + 3t
4s = 0 + 3t
Remove the zero:
4s = 3t

Divide each side by '4'.
s = 0.75t

Simplifying
s = 0.75t
Subproblem 2
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
Solution
s = {0.75t, 0.5t}