15t^2-22tv-5v^2=0

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Solution for 15t^2-22tv-5v^2=0 equation: 


Simplifying
15t2 + -22tv + -5v2 = 0

Reorder the terms:
-22tv + 15t2 + -5v2 = 0

Solving
-22tv + 15t2 + -5v2 = 0

Solving for variable 't'.

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


Subproblem 1
Set the factor '(3t + -5v)' equal to zero and attempt to solve:

Simplifying
3t + -5v = 0

Solving
3t + -5v = 0

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

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

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

Divide each side by '3'.
t = 1.666666667v

Simplifying
t = 1.666666667v

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 = {1.666666667v, -0.2v}

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