12s^2+11st-15t^2=0

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Solution for 12s^2+11st-15t^2=0 equation: 


Simplifying
12s2 + 11st + -15t2 = 0

Reorder the terms:
11st + 12s2 + -15t2 = 0

Solving
11st + 12s2 + -15t2 = 0

Solving for variable 's'.

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


Subproblem 1
Set the factor '(4s + -3t)' equal to zero and attempt to solve:

Simplifying
4s + -3t = 0

Solving
4s + -3t = 0

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

Add '3t' to each side of the equation.
4s + -3t + 3t = 0 + 3t

Combine like terms: -3t + 3t = 0
4s + 0 = 0 + 3t
4s = 0 + 3t
Remove the zero:
4s = 3t

Divide each side by '4'.
s = 0.75t

Simplifying
s = 0.75t

Subproblem 2
Set the factor '(3s + 5t)' equal to zero and attempt to solve:

Simplifying
3s + 5t = 0

Solving
3s + 5t = 0

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

Add '-5t' to each side of the equation.
3s + 5t + -5t = 0 + -5t

Combine like terms: 5t + -5t = 0
3s + 0 = 0 + -5t
3s = 0 + -5t
Remove the zero:
3s = -5t

Divide each side by '3'.
s = -1.666666667t

Simplifying
s = -1.666666667t
Solution
s = {0.75t, -1.666666667t}

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