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

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

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

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

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

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-4st + s2 + 4t2) = 0

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

Ignore the factor 4.
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 '(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
Solution
s = {2t, 2t}