How to clear $T$ from the formula $vf = vp ( 1 + t \times i )$?

Question

Given the formula $vf = vp ( 1 + t \times i )$, I would like to clear $t$.

I would like to know what is the steps to do this. I have issues with formulas and don't understand. Please help me.

Answer 1

That's elementary algebra. Given

$$ v_f = v_p(1 + it) $$

you get $$ \frac{v_f}{v_p} = 1 + it, $$ then $$ \frac{v_f}{v_p} -1 = it $$ so $$ t = \frac{1}{i}\left( \frac{v_f}{v_p} -1 \right) $$