6t^2-13tv-5v^2=

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Solution for 6t^2-13tv-5v^2= equation: 


Simplifying
6t2 + -13tv + -5v2 = 0

Reorder the terms:
-13tv + 6t2 + -5v2 = 0

Solving
-13tv + 6t2 + -5v2 = 0

Solving for variable 't'.

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


Subproblem 1
Set the factor '(2t + -5v)' equal to zero and attempt to solve:

Simplifying
2t + -5v = 0

Solving
2t + -5v = 0

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

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

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

Divide each side by '2'.
t = 2.5v

Simplifying
t = 2.5v

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

Simplifying
3t + v = 0

Solving
3t + v = 0

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

Add '-1v' to each side of the equation.
3t + v + -1v = 0 + -1v

Combine like terms: v + -1v = 0
3t + 0 = 0 + -1v
3t = 0 + -1v
Remove the zero:
3t = -1v

Divide each side by '3'.
t = -0.3333333333v

Simplifying
t = -0.3333333333v
Solution
t = {2.5v, -0.3333333333v}

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