2s^2-st-15t^2=0

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


Simplifying
2s2 + -1st + -15t2 = 0

Reorder the terms:
-1st + 2s2 + -15t2 = 0

Solving
-1st + 2s2 + -15t2 = 0

Solving for variable 's'.

Factor a trinomial.
(s + -3t)(2s + 5t) = 0


Subproblem 1
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

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

Simplifying
2s + 5t = 0

Solving
2s + 5t = 0

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

Add '-5t' to each side of the equation.
2s + 5t + -5t = 0 + -5t

Combine like terms: 5t + -5t = 0
2s + 0 = 0 + -5t
2s = 0 + -5t
Remove the zero:
2s = -5t

Divide each side by '2'.
s = -2.5t

Simplifying
s = -2.5t
Solution
s = {3t, -2.5t}

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