10v^2-29vt+10t^2=0

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Solution for 10v^2-29vt+10t^2=0 equation: 


Simplifying
10v2 + -29vt + 10t2 = 0

Reorder the terms:
-29tv + 10t2 + 10v2 = 0

Solving
-29tv + 10t2 + 10v2 = 0

Solving for variable 't'.

Factor a trinomial.
(2t + -5v)(5t + -2v) = 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 '(5t + -2v)' equal to zero and attempt to solve:

Simplifying
5t + -2v = 0

Solving
5t + -2v = 0

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

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

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

Divide each side by '5'.
t = 0.4v

Simplifying
t = 0.4v
Solution
t = {2.5v, 0.4v}

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