s^2-13st-30t^2=0

Solution for s^2-13st-30t^2=0 equation:

Simplifying
s2 + -13st + -30t2 = 0

Reorder the terms:
-13st + s2 + -30t2 = 0

Solving
-13st + s2 + -30t2 = 0

Solving for variable 's'.

Factor a trinomial.
(s + -15t)(s + 2t) = 0

Subproblem 1
Set the factor '(s + -15t)' equal to zero and attempt to solve:

Simplifying
s + -15t = 0

Solving
s + -15t = 0

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

Add '15t' to each side of the equation.
s + -15t + 15t = 0 + 15t

Combine like terms: -15t + 15t = 0
s + 0 = 0 + 15t
s = 0 + 15t
Remove the zero:
s = 15t

Simplifying
s = 15t
Subproblem 2
Set the factor '(s + 2t)' equal to zero and attempt to solve:

Simplifying
s + 2t = 0

Solving
s + 2t = 0

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

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

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

Simplifying
s = -2t
Solution
s = {15t, -2t}