# How do you solve #(x - 2)/ 3 = 1/ x#?

##### 1 Answer

Apr 10, 2016

#### Explanation:

**Cross Multiply:**

Expand:

**What we now have is a quadratic equation:
We can now factor this further:**

**Now we can solve by using the null factor law (that is, determining the numbers that make each bracket =0):**

**Solution 1:**

Therefore, one solution to the equation is

**Solution 2:**

Therefore, the other solution to the equation is

Therefore,