# What is the least common multiple for #\frac{x}{x-2}+\frac{x}{x+3}=\frac{1}{x^2+x-6}# and how do you solve the equations?

##### 1 Answer

May 28, 2018

See explanation

#### Explanation:

which simplifies to **This will be your least common multiple** (LCM)

Therefore you can find a common denominator in the LCM...

Simplify to get:

You see the denominators are the same, so take them out.

Now you have the following -

Let's distribute; now we have

Adding like terms,

Make one side equal to 0 and solve quadratic.

Based on Symbolab, the answer is