Sorry, it looks like you haven't got any of them right. That's ok, you'll be an expert in no time. Let's do one at a time.

Solve for Zt

Remember that to solve for a variable means to isolate it. So, we want to rearrange this formula so that Zt is by itself on either the right or the left side. Recall that we can manipulate the equation any way that we want, so long as we follow the Golden Rule of Algebra: Do unto one side as you do unto the other.

Step 1: Multiplybothsides by Zt. This will cancel out the Zt on the right side and leave you with:

Step 2: Dividebothsides by C. This cancels out the C from the left side, thereby isolating Zt:

Notice that in essence, all we have done is switched C and Zt. This will always work for equations of this form.

In general, if then

Do you understand this?