s^2-9st+18t^2=0

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Solution for s^2-9st+18t^2=0 equation:


Simplifying
s2 + -9st + 18t2 = 0

Reorder the terms:
-9st + s2 + 18t2 = 0

Solving
-9st + s2 + 18t2 = 0

Solving for variable 's'.

Factor a trinomial.
(s + -6t)(s + -3t) = 0

Subproblem 1

Set the factor '(s + -6t)' equal to zero and attempt to solve: Simplifying s + -6t = 0 Solving s + -6t = 0 Move all terms containing s to the left, all other terms to the right. Add '6t' to each side of the equation. s + -6t + 6t = 0 + 6t Combine like terms: -6t + 6t = 0 s + 0 = 0 + 6t s = 0 + 6t Remove the zero: s = 6t Simplifying s = 6t

Subproblem 2

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

Solution

s = {6t, 3t}

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