8t^2-10tv-3v^2=0

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Solution for 8t^2-10tv-3v^2=0 equation: 


Simplifying
8t2 + -10tv + -3v2 = 0

Reorder the terms:
-10tv + 8t2 + -3v2 = 0

Solving
-10tv + 8t2 + -3v2 = 0

Solving for variable 't'.

Factor a trinomial.
(2t + -3v)(4t + v) = 0


Subproblem 1
Set the factor '(2t + -3v)' equal to zero and attempt to solve:

Simplifying
2t + -3v = 0

Solving
2t + -3v = 0

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

Add '3v' to each side of the equation.
2t + -3v + 3v = 0 + 3v

Combine like terms: -3v + 3v = 0
2t + 0 = 0 + 3v
2t = 0 + 3v
Remove the zero:
2t = 3v

Divide each side by '2'.
t = 1.5v

Simplifying
t = 1.5v

Subproblem 2
Set the factor '(4t + v)' equal to zero and attempt to solve:

Simplifying
4t + v = 0

Solving
4t + v = 0

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

Add '-1v' to each side of the equation.
4t + v + -1v = 0 + -1v

Combine like terms: v + -1v = 0
4t + 0 = 0 + -1v
4t = 0 + -1v
Remove the zero:
4t = -1v

Divide each side by '4'.
t = -0.25v

Simplifying
t = -0.25v
Solution
t = {1.5v, -0.25v}

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