12s^2+11st-5t^2=0

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Solution for 12s^2+11st-5t^2=0 equation: 


Simplifying
12s2 + 11st + -5t2 = 0

Reorder the terms:
11st + 12s2 + -5t2 = 0

Solving
11st + 12s2 + -5t2 = 0

Solving for variable 's'.

Factor a trinomial.
(3s + -1t)(4s + 5t) = 0


Subproblem 1
Set the factor '(3s + -1t)' equal to zero and attempt to solve:

Simplifying
3s + -1t = 0

Solving
3s + -1t = 0

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

Add 't' to each side of the equation.
3s + -1t + t = 0 + t

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

Divide each side by '3'.
s = 0.3333333333t

Simplifying
s = 0.3333333333t

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 = {0.3333333333t, -1.25t}

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