15t^2-17tv-4v^2=0

Solution for 15t^2-17tv-4v^2=0 equation:

Simplifying
15t2 + -17tv + -4v2 = 0

Reorder the terms:
-17tv + 15t2 + -4v2 = 0

Solving
-17tv + 15t2 + -4v2 = 0

Solving for variable 't'.

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

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

Simplifying
3t + -4v = 0

Solving
3t + -4v = 0

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

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

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

Divide each side by '3'.
t = 1.333333333v

Simplifying
t = 1.333333333v
Subproblem 2
Set the factor '(5t + v)' equal to zero and attempt to solve:

Simplifying
5t + v = 0

Solving
5t + v = 0

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

Add '-1v' to each side of the equation.
5t + v + -1v = 0 + -1v

Combine like terms: v + -1v = 0
5t + 0 = 0 + -1v
5t = 0 + -1v
Remove the zero:
5t = -1v

Divide each side by '5'.
t = -0.2v

Simplifying
t = -0.2v
Solution
t = {1.333333333v, -0.2v}