# How do you solve C=12dq for d?

Oct 30, 2016

$d = \frac{C}{12 q}$

#### Explanation:

To solve for $d$ you must remove $12$ and $q$ from the right side of the equation while keeping the equation balanced.

$\frac{C}{12} = \frac{12 \mathrm{dq}}{12}$

$\frac{C}{12} = \left(\frac{12}{12}\right) \mathrm{dq}$

$\frac{C}{12} = 1 \cdot \mathrm{dq}$

$\frac{C}{12} = \mathrm{dq}$

$\frac{C}{12 q} = \frac{\mathrm{dq}}{q}$

$\frac{C}{12 q} = d \cdot \left(\frac{q}{q}\right)$

$\frac{C}{12 q} = d \cdot 1$

$d = \frac{C}{12 q}$