12s^2-7su+u^2=

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Solution for 12s^2-7su+u^2= equation: 


Simplifying
12s2 + -7su + u2 = 0

Reorder the terms:
-7su + 12s2 + u2 = 0

Solving
-7su + 12s2 + u2 = 0

Solving for variable 's'.

Factor a trinomial.
(3s + -1u)(4s + -1u) = 0


Subproblem 1
Set the factor '(3s + -1u)' equal to zero and attempt to solve:

Simplifying
3s + -1u = 0

Solving
3s + -1u = 0

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

Add 'u' to each side of the equation.
3s + -1u + u = 0 + u

Combine like terms: -1u + u = 0
3s + 0 = 0 + u
3s = 0 + u
Remove the zero:
3s = u

Divide each side by '3'.
s = 0.3333333333u

Simplifying
s = 0.3333333333u

Subproblem 2
Set the factor '(4s + -1u)' equal to zero and attempt to solve:

Simplifying
4s + -1u = 0

Solving
4s + -1u = 0

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

Add 'u' to each side of the equation.
4s + -1u + u = 0 + u

Combine like terms: -1u + u = 0
4s + 0 = 0 + u
4s = 0 + u
Remove the zero:
4s = u

Divide each side by '4'.
s = 0.25u

Simplifying
s = 0.25u
Solution
s = {0.3333333333u, 0.25u}

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