4s^2-36st+81t^2=0

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Solution for 4s^2-36st+81t^2=0 equation: 


Simplifying
4s2 + -36st + 81t2 = 0

Reorder the terms:
-36st + 4s2 + 81t2 = 0

Solving
-36st + 4s2 + 81t2 = 0

Solving for variable 's'.

Factor a trinomial.
(2s + -9t)(2s + -9t) = 0


Subproblem 1
Set the factor '(2s + -9t)' equal to zero and attempt to solve:

Simplifying
2s + -9t = 0

Solving
2s + -9t = 0

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

Add '9t' to each side of the equation.
2s + -9t + 9t = 0 + 9t

Combine like terms: -9t + 9t = 0
2s + 0 = 0 + 9t
2s = 0 + 9t
Remove the zero:
2s = 9t

Divide each side by '2'.
s = 4.5t

Simplifying
s = 4.5t

Subproblem 2
Set the factor '(2s + -9t)' equal to zero and attempt to solve:

Simplifying
2s + -9t = 0

Solving
2s + -9t = 0

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

Add '9t' to each side of the equation.
2s + -9t + 9t = 0 + 9t

Combine like terms: -9t + 9t = 0
2s + 0 = 0 + 9t
2s = 0 + 9t
Remove the zero:
2s = 9t

Divide each side by '2'.
s = 4.5t

Simplifying
s = 4.5t
Solution
s = {4.5t, 4.5t}

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