# How do you solve the equation #n^3+2n^2-35n=0#?

##### 2 Answers

Okay so the first step will be removing the gcf

So lets write this as

so lets faCtor

this CAN BE REWRITTEN AS

Now using the 0 theorem we can say that one of the 3 polynomials which are being multiplied have to be = 0

So hence the set of values for n are

You can take one

Now we allready have one possible solution:

Let's look at what we have left. A quadratic equation of the form

Now we have to find two numbers that, when multiplied, give a product of

These would be

So the quadratic part factors into

And the whole original equation will factor into:

**Answer** :