16s^2+36st+20t^2=

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Solution for 16s^2+36st+20t^2= equation: 


Simplifying
16s2 + 36st + 20t2 = 0

Reorder the terms:
36st + 16s2 + 20t2 = 0

Solving
36st + 16s2 + 20t2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9st + 4s2 + 5t2) = 0

Factor a trinomial.
4((s + t)(4s + 5t)) = 0

Ignore the factor 4.

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

Simplifying
s + t = 0

Solving
s + t = 0

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

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

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

Simplifying
s = -1t

Subproblem 2
Set the factor '(4s + 5t)' equal to zero and attempt to solve:

Simplifying
4s + 5t = 0

Solving
4s + 5t = 0

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

Add '-5t' to each side of the equation.
4s + 5t + -5t = 0 + -5t

Combine like terms: 5t + -5t = 0
4s + 0 = 0 + -5t
4s = 0 + -5t
Remove the zero:
4s = -5t

Divide each side by '4'.
s = -1.25t

Simplifying
s = -1.25t
Solution
s = {-1t, -1.25t}

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