15s^2-16st+4t^2=0

Solution for 15s^2-16st+4t^2=0 equation:

Simplifying
15s2 + -16st + 4t2 = 0

Reorder the terms:
-16st + 15s2 + 4t2 = 0

Solving
-16st + 15s2 + 4t2 = 0

Solving for variable 's'.

Factor a trinomial.
(3s + -2t)(5s + -2t) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5s + -2t)' equal to zero and attempt to solve:

Simplifying
5s + -2t = 0

Solving
5s + -2t = 0

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

Add '2t' to each side of the equation.
5s + -2t + 2t = 0 + 2t

Combine like terms: -2t + 2t = 0
5s + 0 = 0 + 2t
5s = 0 + 2t
Remove the zero:
5s = 2t

Divide each side by '5'.
s = 0.4t

Simplifying
s = 0.4t
Solution
s = {0.6666666667t, 0.4t}