# How do you solve #9x ^ { 4} + 18x ^ { 3} + 9x ^ { 2} = 0#?

##### 1 Answer

Oct 25, 2017

#### Explanation:

First, begin by factoring as much as possible from each term of the equation on the left hand side:

Now factor the quadratic:

Since we know the product of the three terms on the left comes out to 0, we know that any one of those terms evaluating to 0 will be a solution of the equation. Thus, we solve each factor separately to determine all possible solutions for

We get four roots: