Steply

Solve W = Fd for d

Step by step, with the reason for every step · Literal equations · Algebra 1

Step by step

The question

Question: solve for d in W = Fd.

We treat the other letters like numbers.

W = Fd

1 d on the left

d is on the right.

We swap the two sides, so d is on the left.

They are still equal.

Fd = W

2 Remove the F

Fd means F times d.

We want just d.

To remove times F, we divide by F.

We do it on both sides.

FdF = WF

F divided by F is 1.

So just d is left.

So d = W over F.

d = WF

3 Check

Let's check with numbers.

We pick F = 2, W = 4.

Our answer gives d = 2.

d = 42 = 2

Now we put all the numbers into the start.

First the left side.

Left: 4

Now the right side.

Right: (2)(2) = 4

Both sides are 4.

So our answer is right!

Both sides equal 4

Let's look back.

First: d on the left.

Then: remove the F.

Last: check.

Answer
d = WF

Your turn

Try this one yourself, then check:

Solve for F in W = Fd
Show the answer
F = Wd

More from Literal equations

The whole lesson: Literal equations →