4s^2-13st+3t^2=0

Solution for 4s^2-13st+3t^2=0 equation:

Simplifying
4s2 + -13st + 3t2 = 0

Reorder the terms:
-13st + 4s2 + 3t2 = 0

Solving
-13st + 4s2 + 3t2 = 0

Solving for variable 's'.

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

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

Simplifying
s + -3t = 0

Solving
s + -3t = 0

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

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

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

Simplifying
s = 3t
Subproblem 2
Set the factor '(4s + -1t)' equal to zero and attempt to solve:

Simplifying
4s + -1t = 0

Solving
4s + -1t = 0

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

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

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

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

Simplifying
s = 0.25t
Solution
s = {3t, 0.25t}