How would I rearrange this formula?

Question

I have a project that I need an equation for, and it looks like this:

$$W = \frac{V}{0.15} \times V$$

I need to rearrange the equation, so that V is the subject. So, in this situation here:

$$\frac{V}{0.15} \times V = 106.666667$$

I would plug $106,666667$ into $W$ and get $4$ ($V$) as the answer.

I’m not very experienced in math, could someone help out? Thanks!

Answer 1

$W=\frac{V}{0.15} \times V$

$W= \frac{V^2}{0.15}\Rightarrow V^2=0.15\times W$

$V= \pm \sqrt{0.15\times W}$

Plugging your values

$V = \pm\sqrt{0.15\times106666667}$ $V= \pm\sqrt{16000000.05}$

$\therefore \boxed{V = \pm4000.000}$

Answer 2

To obtain $V$ as the subject, you have $W = \frac{V^2}{0.15}$ which gives $V^2 = \frac{W}{0.15}$ and finally $V = \pm \sqrt{\frac{W}{0.15}}$.

Answer 3

I would write $$V=\pm\frac{\sqrt{15W}}{10}$$