# How do you solve #10u^3-5u^2=0#?

##### 1 Answer

#### Explanation:

This is a third degree equation without and independent term, therefore it can be solve though factorization. Start by factoring u:

Notice that, for this new equation to result in 0, any of the factors must me 0. If the first

However, if

Again, we have a case in which the first

Now, if

Do notice that this method only works when the equation is equals zero and there is no independent term. We could also have taken a shortcut and factored