Please help solve this equation

[Juggleben78]

Hello everybody,

I'm trying to solve an equation but can't figure it out.

I'm trying to solve for V. Other letters are constants.

Please help, my head is hurting

V = [[ R - (0.0125 x V)] x Z] / 0.8

 

[Romsek]

how about

\(\displaystyle 0.8V = RZ - 0.0125 V Z\)

is that any easier for you to solve?

 

[Juggleben78]

I could have gone that far but thanks. And from there V= (RZ−0.0125VZ) / 0.8 but I'm still trying to solve for V and not sure how to "extract" the second V on the right side of equation

 

[Romsek]

really?

\(\displaystyle 0.8V = RZ - 0.0125VZ\\~\\
(0.8 + 0.0125Z)V = RZ\\~\\
V = \dfrac{RZ}{0.8 +0.0125Z}
\)

 

[Juggleben78]

Now that I see it, I understand your "really?" haha

Thanks for unlocking my brain.

Take care